Use the properties of logarithms to expand $\log \frac{z^{7}}{y}$.
Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.

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Final Answer: The expanded form of $\log \frac{z^{7}}{y}$ is $\boxed{- \log y + 7 \log z}$.

Steps

Step 1 ：Given the expression $\log \frac{z^{7}}{y}$.

Step 2 ：Use the properties of logarithms to expand the expression. The properties of logarithms state that $\log \frac{a}{b} = \log a - \log b$ and $\log a^n = n \log a$.

Step 3 ：Applying these properties, the expression $\log \frac{z^{7}}{y}$ can be expanded to $- \log y + 7 \log z$.

Step 4 ：Final Answer: The expanded form of $\log \frac{z^{7}}{y}$ is $\boxed{- \log y + 7 \log z}$.

Use the properties of logarithms to expand $\log \frac{z^{7}}{y}$.Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.

Answer

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Use the properties of logarithms to expand $\log \frac{z^{7}}{y}$.
Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.