Problem

Use the properties of logarithms to expand $\log \left(x^{6} z\right)$. Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive. \[ \log \left(\begin{array}{c} x^{6} \\ z \end{array}\right)=\prod \]

Solution

Step 1 :Use the properties of logarithms to expand $\log \left(x^{6} z\right)$.

Step 2 :Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.

Step 3 :Final Answer: $\boxed{6 \log(x) + \log(z)}$

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Source: https://solvelyapp.com/problems/dSOJlCRGlh/

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