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 ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAoACcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7v+CGsJP8G4/i3qcEuoa54t0pPEt0U2tcRWbo9zZ6bGzFV2W0MwhXHlo7+bMyrJPKT2/gbxprHiyS7XVPAPiHwWIApjfXJ9OkFxnOQn2S7nIxgZ37eoxnnHnPwJtpL39ib4a20ejHxD5/gLSon0lbkW7XcbWEQeJZCQFdlLBclRnALIMsMfwB8EJ5da16/wDD/hq4+BvhfWY7W11Hw7p/2WC7vPLM7TTRmxneC0kkDwR/aI2aYxpIB5Ughmjcd3/X9fj6dRysop9b/wCX9a29W9D0D9o3Vr7Tfg9rVrpl7caXqWuzWXhq11S0laObTpdSu4dPS8QqQS0DXQmChlLGMKGTO4W/C3wP8OeD9dtdXsNS8YXF3b7tkeqeNdZ1C3O5Sp3wXF3JE/DHG5Tg4IwQCPKpvFOqeIPiZ8K/hL4muf7X8ceHL1fEniD92iWus6TBZXcNvq2xQI1zqTWT/ZiN8NxHuRXjhjuGd8PfhNq/hL4rQa6Ph9BB4O1S9uLuz0MT22/wle7fLa9WMSmEi6RSX8gs8TSEKGE07VN/eSewnpFv+v6/reyfZ+Ab2b4Z/Fy8+FwsLgeGNQ0yXxF4WnjaMW2nW8L21vd6WqbzIqxSzwzxHHliO8MEYjS1RSVb8R/8nT/Dz/sTPEv/AKXaFRTA5T4EeDdX8W/ssfA7+yvHfiDwV9n8GaT5n9hQadL9p3WNvjzPtlpcY27TjZt++2d3y46v/hTfi7/ou3xA/wDAHw9/8qqP2Tv+TWPg3/2Jmjf+kMNeo3EK3MEkLlwkilCY3KMARjhlIIPuCCKTv0A8jk+AviCbVbfU5PjT44fUraGW2gvG0zw4ZoopGjaSNX/snKq7QxFlBwTGhOdoxb/4U34u/wCi7fED/wAAfD3/AMqq5H4JfDvWNP1mTQte1bxZeDwNrF41tq174hvpV1mO5VZbcT7p2E4iidVZJBhXVSoAZt30HQmpK6DZ2PKvEf8AydP8PP8AsTPEv/pdoVFHiP8A5On+Hn/YmeJf/S7QqKYB+zh/xTHw40r4c3/7jxB4FsoNCuIJPle4tYQ0FnqCr08q6hgEo2s6o/mwl2kglC+pyKXRlDFCQQGXGR7jPFFFJ6gZXhfw+fDelC1k1K91m5ZzJPqGomMz3Dn+JhGiIOAAAiKoAGAK16KKYHj/AIBspviZ8XLz4oi/uD4Y0/TJfDvhaCNYzbajbzPbXF3qivsEjLLLBDBEM+WY7MzxmRLpGBRRQB//2Q== 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]]> 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 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