Algebra/Unit 7 Quiz 2/Objective 6a
Rewrite as log
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Rewrite«/mi»«mo»§#160;«/mo»«mo»#«/mo»«msup»«mi»b«/mi»«mi»x«/mi»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mi»logarithmic«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo».«/mo»«/math»]]>
1.0000000
0.3333333
0
true
true
abc
Your answer is correct.]]>
Your answer is partially correct.]]>
Your answer is incorrect.]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»y«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»y«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»b«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»#«/mo»«mi»b«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»b«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»y«/mi»«/mrow»«/msub»«mi»x«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»b«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»#«/mo»«mi»y«/mi»«/math»]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>b</mi><mo>≠</mo><mi>y</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 6b
Rewrite exponent
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Rewrite«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»exponential«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo».«/mo»«/math»]]>
1.0000000
0.3333333
0
true
true
abc
Your answer is correct.]]>
Your answer is partially correct.]]>
Your answer is incorrect.]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»b«/mi»«mi»x«/mi»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»b«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«mo»=«/mo»«mi»x«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»a«/mi»«mi»x«/mi»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»a«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«mo»=«/mo»«mi»x«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>b</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 6c
Evaluate log
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1.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 7a
Inverse exponent 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«mo»#«/mo»«msup»«mi»b«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«/mrow»«/msup»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»To«/mi»«mo»§#160;«/mo»«mi»type«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»either«/mi»«mo»§#160;«/mo»«mi»use«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mo»§#160;«/mo»«mi»that«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mi>x</mi><mo>+</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Inverse exponent 2
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3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>-</mo><mi>k</mi><mo>)</mo><mo>+</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse exponent 3
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3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>-</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse exponent 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«mo»#«/mo»«msup»«mi»b«/mi»«mrow»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«/mrow»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»To«/mi»«mo»§#160;«/mo»«mi»type«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»you«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»either«/mi»«mo»§#160;«/mo»«mi»use«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mo»§#160;«/mo»«mi»that«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>+</mo><mi>k</mi><mo>)</mo><mo>-</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 7b
Inverse logarithm 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msup><mi>b</mi><mi>x</mi></msup><mo>+</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse logarithm 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«mo»)«/mo»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>+</mo><mi>k</mi></mrow></msup><mo>+</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse logarithm 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«mo»)«/mo»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>-</mo><mi>k</mi></mrow></msup><mo>-</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse logarithm 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«/math»]]>
3.0000000
0.3333333
0
0
y=#sol]]>
#sol
Forgot y =]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msup><mi>b</mi><mrow><mi>x</mi><mo>-</mo><mi>k</mi></mrow></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 8
Domain Range Logs 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«mo»)«/mo»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»]]>
2.0000000
0.3333333
0
0
domain=#domrange=ℝ]]>
domain=ℝrange=#dom]]>
Switched domain and range.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>-</mo><mi>h</mi><mo>)</mo><mo>+</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"></data></localData></question>
Domain Range Logs 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«mo»)«/mo»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»]]>
2.0000000
0.3333333
0
0
domain=#domrange=ℝ]]>
domain=ℝrange=#dom]]>
Switched domain and range.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>+</mo><mi>h</mi><mo>)</mo><mo>+</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"></data></localData></question>
Domain Range Logs 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»]]>
2.0000000
0.3333333
0
0
domain=#domrange=ℝ]]>
domain=ℝrange=#dom]]>
Switched domain and range.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"></data></localData></question>
Domain Range Logs 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»domain«/mi»«mo»§#160;«/mo»«mi»and«/mi»«mo»§#160;«/mo»«mi»range«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«/math»]]>
2.0000000
0.3333333
0
0
domain=#domrange=ℝ]]>
domain=ℝrange=#dom]]>
Switched domain and range.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom</mi><mo>=</mo><mi>domain</mi><mo>(</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>n</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi><mspace linebreak="newline"/><mi>r</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>o</mi><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 9a
Expand Logs 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Expand«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mfrac»«mrow»«msup»«mi mathvariant=¨normal¨»x«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mi mathvariant=¨normal¨»y«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/mrow»«/msup»«/mrow»«msup»«mi»z«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»d«/mi»«/mrow»«/msup»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Note«/mi»«mo»:«/mo»«mo»§#160;«/mo»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»need«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>b</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>-</mo><mi>d</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Expand Logs 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Expand«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mfrac»«mrow»«msqrt»«mi mathvariant=¨normal¨»x«/mi»«/msqrt»«mo»§#183;«/mo»«msup»«mi mathvariant=¨normal¨»y«/mi»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»b«/mi»«/mrow»«/msup»«/mrow»«mrow»«mo»#«/mo»«mi mathvariant=¨normal¨»c«/mi»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»z«/mi»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Note«/mi»«mo»:«/mo»«mo»§#160;«/mo»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»need«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mi>log</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>b</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>-</mo><mi>log</mi><mo>(</mo><mi>c</mi><mo>)</mo><mo>-</mo><mi>log</mi><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Expand Logs 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Expand«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mfrac»«mrow»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»y«/mi»«/mrow»«msup»«mfenced»«mrow»«mi»w«/mi»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»z«/mi»«/mrow»«/mfenced»«mrow»«mo»#«/mo»«mi»d«/mi»«/mrow»«/msup»«/mfrac»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Note«/mi»«mo»:«/mo»«mo»§#160;«/mo»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«mi mathvariant=¨normal¨»x«/mi»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»need«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>b</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>log</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>-</mo><mi>d</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>w</mi><mo>)</mo><mo>-</mo><mi>d</mi><mo>*</mo><mi>log</mi><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Algebra/Unit 7 Quiz 2/Objective 9b
Condense Logs 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»+«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»y«/mi»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mfrac><mrow><msup><mi>x</mi><mi>a</mi></msup><mo>*</mo><mi>y</mi></mrow><msup><mi>d</mi><mi>c</mi></msup></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Condense Logs 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mfenced»«mrow»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»+«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»y«/mi»«/mrow»«/mfenced»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mfrac><mrow><msup><mi>x</mi><mi>a</mi></msup><mo>*</mo><msup><mi>y</mi><mi>a</mi></msup></mrow><msup><mi>d</mi><mi>c</mi></msup></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Condense Logs 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»y«/mi»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mfrac><mi>x</mi><mrow><msup><mi>y</mi><mi>a</mi></msup><mo>*</mo><msup><mi>d</mi><mi>c</mi></msup></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Condense Logs 4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»x«/mi»«mo»-«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mi»y«/mi»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«msub»«mi»log«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msub»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»You«/mi»«mo»§#160;«/mo»«mi»can«/mi»«mo»§#160;«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»change«/mi»«mo»-«/mo»«mi»of«/mi»«mo»-«/mo»«mi»base«/mi»«mo»§#160;«/mo»«mi»formula«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»using«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»fact«/mi»«mspace linebreak=¨newline¨/»«mi»log«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»,«/mo»«mi mathvariant=¨normal¨»b«/mi»«mo»)«/mo»«mo»=«/mo»«msub»«mi»log«/mi»«mi mathvariant=¨normal¨»b«/mi»«/msub»«mi mathvariant=¨normal¨»a«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>log</mi><mi>b</mi></msub><mfrac><mi>x</mi><mrow><msup><mi>y</mi><mi>a</mi></msup><mo>*</mo><msup><mi>d</mi><mi>c</mi></msup></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Condense Logs 5
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mi»ln«/mi»«mi»x«/mi»«mo»+«/mo»«mi»ln«/mi»«mi»y«/mi»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«mi»ln«/mi»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Please«/mi»«mo»§#160;«/mo»«mi»have«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»around«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»e«/mi»«mo».«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo».«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«mo»§#160;«/mo»«mi»should«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»written«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfenced»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«/mfenced»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>ln</mi><mfrac><mrow><msup><mi>x</mi><mi>a</mi></msup><mo>*</mo><mi>y</mi></mrow><msup><mi>d</mi><mi>c</mi></msup></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Condense Logs 6
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mfenced»«mrow»«mi»ln«/mi»«mi»x«/mi»«mo»+«/mo»«mi»ln«/mi»«mi»y«/mi»«/mrow»«/mfenced»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«mi»ln«/mi»«mo»#«/mo»«mi»d«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Please«/mi»«mo»§#160;«/mo»«mi»have«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»around«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»e«/mi»«mo».«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo».«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«mo»§#160;«/mo»«mi»should«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»written«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfenced»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«/mfenced»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>ln</mi><mfrac><mrow><msup><mi>x</mi><mi>a</mi></msup><mo>*</mo><msup><mi>y</mi><mi>a</mi></msup></mrow><msup><mi>d</mi><mi>c</mi></msup></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Condense Logs 7
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Condense«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»ln«/mi»«mi»x«/mi»«mo»-«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mi»ln«/mi»«mi»y«/mi»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«mi»ln«/mi»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Please«/mi»«mo»§#160;«/mo»«mi»have«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»around«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»e«/mi»«mo».«/mo»«mi mathvariant=¨normal¨»g«/mi»«mo».«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«mo»§#160;«/mo»«mi»should«/mi»«mo»§#160;«/mo»«mi»be«/mi»«mo»§#160;«/mo»«mi»written«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mfenced»«mfrac»«mi mathvariant=¨normal¨»x«/mi»«mi mathvariant=¨normal¨»y«/mi»«/mfrac»«/mfenced»«/math»]]>
2.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>ln</mi><mfrac><mi>x</mi><mrow><msup><mi>y</mi><mi>a</mi></msup><mo>*</mo><msup><mi>d</mi><mi>c</mi></msup></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>