Pre-Calc/Chapter 3: Exponential and Log Functions

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f(x) = 0.1^x]]> 1.0000000 0.3333333 0 true true abc f(x) = ∞;

f(x) = 0]]> 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 Incorrect f(x) = ∞;

f(x) = ∞]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAiAC4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U64n4l+J9Z8LT+EpdLksRa32uW2nX8V3bPK7wykr+6dZFEbhsHLK4IBGBnI7auC+LngPxB48svD8Xh/xDp/h6bTNXttUklv9Ke/E4hbcIgq3EOzceC2W4zgA8iWm3G3eN/S6v+FxS+CVt7O3rZ2/EwJ/2l/CmgaVPqPiaabSLRteuNBtGt9M1K4aSaPG1JVNojRSvyETDK5KiN5CwFS6H+1H8OPEWs6fpdnq2pLeXt7/AGaq3egahbJBeZYC1uHlgVbadtpKxTFHYMhCkOpPMXXwA8eXWomdvH/h/wAhfGK+LIoj4Vm3IFTZ9m3f2hzxzvx1z8uMAW3+Avi6bS/EkEvjfSHu9Q8W2vivT5f+Eem8qzaGWJ/IkjN6TKrCBBuVo8EucHIAdC7sq2m17ekL/nPy93zVyo7J8iu9bffO34KH/gXkz3OiiimM80+PPj/xB8L/AAvZeJNFgs9Ut7W7jW/0R7aSW+1GBjh0smRxiZF3yBWRw4jI+QZcVdN8Y/EbWvCGgaz4YsPAvjeDVIDem+Gu3WlWyxOd0Kw7bS7M4CEAykxbiuRGm7avo15oOmahqmn6ndadaXOpaf5n2O8mgV5rbzF2yeW5GU3LwcEZHBpmgeGdH8KWUlnomlWOj2kk8ly8FhbJBG0sjFpJCqAAszEsW6kkk0kmr/18v16fiN9Lf1/X4/I8Qi8fftAt8ZdH0eT4feDh4Sktd+qzW2vX0v2QljsljupNPhSRiFYeQiyNkIXaFWDN6NpHxF8Qal4pGlXHwu8WaVYGV4/7cu7rSGswq5xJtiv3n2tgY/dbvmGQOcd3RVLS39f1YTPnvQf2r49a+Ktt4M+x+FwZLryGuIPFIkmJJwLeOE2y+ZexffuLYMPJjZG8yQttH0JRRS6JdSpNOV0rIKKKKCQooooAKKKKAP/Z/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAiACcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U68e8QfGHV/BWpfEH+1U069stGn04acIrS8iCJdfKRcyQpct8rAnzViVACAwUAvXsNeG+PPgX438W33xFex8eaLpdl4qt7O3toZfDMtxJp/kH7xf7aglZgWH3UAO04OCGiXNdcv9f1/Xmne2hteIv2pfhr4S8Q6tomr61fWN/o80cOpGTQ7/AMixEm3y5p5xB5cUDbhtndhEcNh/lbHUfD34teGfiidUTQLq9e40x40u7XUtLutOuIvMXfGxiuYo3KOuSrhSrYOCcGvL/E37PfjvxLa/ElH+IGg2s/jKKyj86DwvOPsRgRULKP7Qy5YA45XaSD82MH0Xw14B1nRfiXrPim81yxvINX0ixsbqxg0x4WFzbtKfOSQzuFjYTOPKKsR8v7w4IOkNYvm3/r+v6uEnraK/r+v1O7ooopDPNPjz4/8AEHwv8L2XiTRYLPVLe1u41v8ARHtpJb7UYGOHSyZHGJkXfIFZHDiMj5BlxV03xj8Rta8IaBrPhiw8C+N4NUgN6b4a7daVbLE53QrDttLszgIQDKTFuK5Eabtq+jXmg6ZqGqafqd1p1pc6lp/mfY7yaBXmtvMXbJ5bkZTcvBwRkcGmaB4Z0fwpZSWeiaVY6PaSTyXLwWFskEbSyMWkkKoACzMSxbqSSTSSav8A18v16fiN9Lf1/X4/I8Qi8fftAt8ZdH0eT4feDh4Sktd+qzW2vX0v2QljsljupNPhSRiFYeQiyNkIXaFWDMzxv+1fH4O+JTeEzZ+F5GFyIjLdeKRbTW6g48ueI2xEVzN1tYN7faFWRi8W3n6EoprRq/8AX9f10s7rXT+rBRRRQSFFFFABRRRQAUUUUAf/2Q== Incorrect f(x) = 0;

]]>

]]> 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 1.0000000 1.0000000 0 true true abc .7 x 1.2 x x x doesn't have one x Pre-Calc/Chapter 3: Exponential and Log Functions/3.1 Exponential and Logistic Functions Amount of radioactive element remaining Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x) = 100e^-0.01123x. How much is remaining after #a years? Round the answer to the nearest hundredth of a milligram.

]]> 1.0000000 0.3333333 0 0 #answer]]> <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>98</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>100</mn><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mn>0</mn><mo>.</mo><mn>01123</mn><mo>*</mo><mi>a</mi></mrow></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Decide whether the function is an exponential growth or exponential decay ... Decide whether the function is an exponential growth or exponential decay function and find the constant percentage rate of growth or decay.

f(x) = 5.8 ∙ 1.02^x]]> 1.0000000 0.3333333 0 true true abc Exponential decay function; 0.02% Incorrect Exponential growth function; 102% Incorrect Exponential growth function; 0.02% Incorrect Exponential growth function; 2% Correct Solve the equation.3(10 - 2x) = 81 Solve the equation.

3^{(10 - 2x)} = 81]]> 1.0000000 0.3333333 0 true true abc 27 Incorrect -3 Incorrect 3 Correct 5 Incorrect Pre-Calc/Chapter 3: Exponential and Log Functions/3.2 Exponential and Logistic Modeling Find the exponential function that satisfies the given conditions.Initial ... Find the exponential function that satisfies the given conditions.

Initial population = 1092, doubling every 7 hours]]> 1.0000000 0.3333333 0 true true abc 7t]]> Incorrect t/7]]> Correct t]]> Incorrect ^t/7]]> 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 Incorrect Solve the problem.The number of students infected with the flu on a college ... Solve the problem.

The number of students infected with the flu on a college campus after t days is modeled by the function

When will the number of infected students be 100?]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApAG4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6K+SvEn7QnxK8IazrtvP4l+H+sapZeJk0bSvBcGiXVtquvQ4tXlNvIdQk2uiXRywgkRfL3NtVjt9G8WftLW3g3S5NfudLvtS0C68TxeGNPTTNLvLq4dln8i6uG8mKQkCQSLHGEG/wAn5XYyhVaV1F97f+TWt5a3X9IlyXvW1te/yvfz6M9vorjfhz44m8Wf25p9/GkWsaJeC0uvKhkijkV4kmhlVZOV3RSoShLFG3KSSKyf+GlPhENb/sb/AIWp4K/tj7R9k/s//hIrP7R5+7Z5Xl+Zu37vl24znjGaGrOz3Kel30PSKKKKQBXOeNrbxbeafDD4Q1LRdHvS+Zb3W9Pmv41QD7qwRzwEkn+Iyjbj7rZ46OuA+MXgfxV4/wBEtNL8OeJdK8P2pm3ajFqujzagl9EBxARFd27KhP3xuO8fKflLBky42vqcJonxU+I3xE0bwdYaDB4d8N+JdS0W41jUL7VLSfULHEcqQxi3iSeB2ScsZVkMnyxhcq5bI47wn+034+8b/D4fEmxsvDNj4V0vU7XSNU0SaOaa7uJC8MV5LDdiZUiWKWZ1VHhcuISSyb/l9L1P4U+P7i70TXtP8daBpfjCysbjSrmePwxK2l3FpI6ugWzN9vjljMabX89lwXBQhht5zwz+yvf+DrGPwxpfjNG+Hk99aapqOkXulGW/uLmHymfy7sTqkcU0kCO6GBjlpQrqGGykm9Xa+vffm026cujXfZX1M2tLL+ly6/Pm1T7bvofQdFFFIYUUUUAecfCj4d+J/AuteM7zXvEula9b+INUOqxQafoslg1q5ijiKF3upvMXZDH/AAqd285wQq8hD8J9dv8AwZe+DrLUodD1PQPFX/CQaVquoaQ97ZzwvevexhkEsfmEGSSFgsiOpjD4AZC3u1FVzP3f7trf9u25fut/mS4p303vf53v99zzv4V6LqA1vxp4n1CGS1/t+/ie1t5rdoJFt4LeOBXZGYld7JI4VgGVXUMMg1H/AMKB8MHW/wC1f7U8a/avtH2ry/8AhO9c+z7927HkfbPL2Z/5Z7dmOMY4r0iip0vdL+v+Du/Mt63XQ4L4ifCD4YeNZ38QePPBPhLXprG0KNqviLSbW5a3tkLOQZZkO2NSztjIA3Me5rmtF/Zp/Z/8SaTaarpHwq+G2qaZeRLPbXtl4d0+aGeNhlXR1jKspHIIODXpHjG50Cx8NX154ol0230G1UXN1Pq7RrawiNg4kdpPlUKyqwY9CAe1eU/sXeJNL8R/ss/DuTRdTsdW+x6Nb2k5tLlZVhuEjXdE5XOxxkZU8jPSqSvGUu1vxv8A5DsuW/mbf/DJ3wQ/6I38P/8Awl7H/wCNVzN58HP2X9O8Z2vhC78D/CO18WXSCS30GbSdLS/mUgkMkBTewwrHIHRT6Vq/CPxN8XtX+Jfjuz8beGdH0vwza3sSadcWmqzTlFNnAxWDdYQi4jMjSFpGcFH3RhWCA1wPxv8AGGn69450DQ/CPiDwbqer6X4o0+/vvh/LpzjXru6juVD3SyLOrRIkZWXzWt2QrFuMhjYim48s4xezttfZ26eV/wBNncmXuxk+3520X9fpZ9Tp/wAHP2X9W8Y3vhKx8D/CO98VWSGS60K30nS5L6BRtyzwBN6gbl5IH3h6ium/4ZO+CH/RG/h//wCEvY//ABqvlr4pXPi/wgn9m/DbxBpfjvTPhtq2oeIbprfQpA2kyEXBa3u75ZJhczhrp98VvCkwRGaXkgS+xfAiG7+PPg/U08V/ESz8a6fZ3scllqPgXx7KbqJmi+eG6n0u201cDKssbRkjcSxOFxlFtx89H8n1/PTXa+zCfuSs9v110+63bfYd8Q/gh8MdE8Q6d4c8H/s6/DPxN4gurOfUpI9T0yz021gt4mjT5pls52MjvKAiiPBCuSy4GZvD3wV+EHjj4UaT4t8Nfs8+ArnUdUtY5oNJ1LQtPtVhkbhlnmWCTaqHIZkSQ8fKrdK6rWfhf4r8CeIdF1n4b/Y9cFtptzpVzp3jXxDfu7LJKkyTi9kS6mYoyFfKYYKvwybADJp/gPxl4O+GVj4K0jRPCXiXTrTTYra5XXr6aGLVncOLyJ41tpRBGSwZWPn7gWRox9+jXlv6+u7t30as3vrs90j7Wu3/AAF+N722Vt+54zokP7Oenanpeg/EL4M/CvwN4o1DXLvQoLX7Dpk9pM8EYfzoppYYXkjYssQPlBhMfLIzzX1vpkGrRX2pPqF7ZXVnJMGsYbazeGSCLYAVldpXErFtxDKsYAIG0kbj88eDP2b9e+HviHw94h8O6B4R0bHiGXVL3wppt9NbaXpkMtgLNzZulr+8lO3zG3Qwq5bb8pXefpirey016+vX+vuIV223tfT0CiiikWFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/2Q== 1.0000000 0.3333333 0 true true abc About 12 days Correct About 8 days Incorrect About 14 days Incorrect About 16 days Incorrect Solve the problem.The population of wolves in a state park after t years is ... Solve the problem.

The population of wolves in a state park after t years is modeled by the function

What was the initial population of wolves?]]> 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 1.0000000 0.3333333 0 true true abc 16 Incorrect 99 Incorrect 8 Correct 800 Incorrect Solve the problem.There are currently 73 million cars in a certain country, ... Solve the problem.

There are currently 73 million cars in a certain country, increasing by 1.7% annually. How many years will it take for this country to have 91 million cars? Round to the nearest year.]]> 1.0000000 0.3333333 0 true true abc 4 yr Incorrect 11 yr Incorrect 13 yr Correct 170 yr Incorrect Pre-Calc/Chapter 3: Exponential and Log Functions/3.4 Properties of Log Functions Rewrite the expression as a sum or difference or multiple of logarithms.log19 Rewrite the expression as a sum or difference or multiple of logarithms.

log₁₉

]]> 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 1.0000000 0.3333333 0 true true abc 19 y - log₁₉ 5 -

log₁₉ x]]> 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 Incorrect 19 5 ∙

log₁₉ x ÷ log₁₉ y]]> 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 Incorrect 19 (5

) - log₁₉ y]]> 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 Incorrect 19 5 +

log₁₉ x - log₁₉ y]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmAA0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Bvid488T+DvH/wAOLGwg0lvDniDWf7JvXuRK92WNpdTgxAFUjC/Zl5bfu8wjam3Lem15j8X/AIZeKfiBr/gi/wBB8T6RoEHhrVP7XMGo6HLftczeRNAF3pdwBE2XEnG1ju2nIAKt6dV+7yLvqVNptW7fjd/pY+Xviv8ABr4cfDZX1i2/Zq+Gus+ELHyTqV7/AGdZQ36I8iq7W1qLN1m2BtxDzRMcEKGOM/RfhbwnofgbQrXRPDejaf4f0W13fZ9O0u1S2t4dzF22RoAq5ZmY4HJYnqa83+JOlfE/WPHFjJo/h3wprfhDT/KuYLXU/E91p0s94rBllmSPTpwyxsAY0D43De2SE2etxFzEhkVUkIG5UbcAe4BwMj3wKhfDf1/r+l8xSVn8h9FFFAj/2Q== Correct Use the product, quotient, and power rules of logarithms to rewrite the ... Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.

4log x + 2log y]]> 1.0000000 0.3333333 0 true true abc 4 + y²)]]> Incorrect 4y²)]]> Correct log(8xy) Incorrect log(4x + 2y) Incorrect Pre-Calc/Chapter 3: Exponential and Log Functions/3.5 Equations Solving and Modeling Find the exact solution to the equation.log4(x - 2) = - 1 Find the exact solution to the equation.

log₄(x - 2) = - 1]]> 1.0000000 0.3333333 0 true true abc x = 2.25 Correct x =6 Incorrect x = -1.75 Incorrect x = 2 Incorrect Solve the problem.If an earthquake has an intensity of x, then its ... Solve the problem.

If an earthquake has an intensity of x, then its magnitude, as computed by the Richter Scale, is given by

is the intensity of a small, measurable earthquake. (Consider

for this problem.) If one earthquake has a magnitude

on the Richter scale and a second earthquake has a magnitude

on the Richter scale, how many times more intense (to the nearest whole number) is the second earthquake than the first?]]> 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1.0000000 0.3333333 0 true true abc 15,848,931,925 Incorrect 21 Incorrect 25 Correct 6 Incorrect Solve the problem.If x is the hydrogen ion concentration of a sample of ... Solve the problem.

If x is the hydrogen ion concentration of a sample of water, then the pH of that water sample is

If the pH of the water from one lake is 7.1 and the pH of the water from a second lake is 8.0, how many times greater is the hydrogen ion concentration of the second lake than the hydrogen ion concentration of the first lake? Round your answer to the nearest hundredth.]]> 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 1.0000000 0.3333333 0 true true abc 13.39 Incorrect 7.94 Incorrect 7.72 Incorrect 0.13 Correct Use a calculator to find an approximate solution to the equation.e-t = 0.03 Use a calculator to find an approximate solution to the equation.

e^-t = 0.03]]> 1.0000000 0.3333333 0 true true abc 3.6066 Incorrect -3.5066 Incorrect 3.3066 Incorrect 3.5066 Correct Pre-Calc/Chapter 3: Exponential and Log Functions/3.6 Mathematics of Finance Determine the doubling time of the investment.$14,500 at 7% compounded monthly Determine the doubling time of the investment.

$14,500 at 7% compounded monthly]]> 1.0000000 0.3333333 0 true true abc 7.94 years Incorrect 14.9 years Incorrect 9.93 years Correct 19.86 years Incorrect Find the amount accumulated after investing a principal P for t years at an ... Find the amount accumulated after investing a principal P for t years at an interest rate r.

P = $14,000, t = 9, r = 12%, compounded semiannually (k = 2)]]> 1.0000000 0.3333333 0 true true abc $37,698.82 Incorrect $38,823.10 Incorrect $25,960.75 Incorrect $39,960.75 Correct Solve the problem.Find the annual percentage yield if the interest rate is 6.... Solve the problem.

Find the annual percentage yield if the interest rate is 6.0% and interest is compounded daily (n = 365).]]> 1.0000000 0.3333333 0 true true abc 5.93% Incorrect 6.68% Incorrect 6.18% Correct 6.43% Incorrect Solve the problem.Find the interest rate necessary for a present value of ... Solve the problem.

Find the interest rate necessary for a present value of $15,458 to grow to a future value of $18,111.51 if interest is compounded quarterly for two years.]]> 1.0000000 0.3333333 0 true true abc 8% Correct 12% Incorrect 10% Incorrect 6% Incorrect Solve the problem.How long must $6000 be in a bank at 7% compounded annually ... Solve the problem.

How long must $6000 be in a bank at 7% compounded annually to become $11,802.91? (Round to the nearest year.)]]> 1.0000000 0.3333333 0 true true abc 9 yr Incorrect 12 yr Incorrect 11 yr Incorrect 10 yr Correct