Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. log(sqrt(x^9y^-6))
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The square root can be written as a power of 1/2, so we have log((x^9y^-6)^(1/2)). Show moreā¦
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Write each logarithm as the sum and/or difference of logarithms of a single quantity. Then simplify, if possible. See Example 6. $$ \log x^{3} y^{2} $$
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Use the product property of logarithms to write the logarithm as a sum of logarithms. Then simplify if possible. (See Example 1) $$ \log _{2}[(x+y) \cdot z] $$
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