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

Answer

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Answer

Final Answer: $\log \left(z y^{7}\right) = \boxed{7\log(y) + \log(z)}$

Steps

Step 1 ：Given the logarithmic expression $\log \left(z y^{7}\right)$.

Step 2 ：Use the properties of logarithms to expand the expression. The properties state that $\log(ab) = \log(a) + \log(b)$ and $\log(a^n) = n\log(a)$.

Step 3 ：Applying these properties, the expression $\log \left(z y^{7}\right)$ can be expanded as $7\log(y) + \log(z)$.

Step 4 ：Final Answer: $\log \left(z y^{7}\right) = \boxed{7\log(y) + \log(z)}$

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

Answer

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