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.
\[
\log \left(\begin{array}{c}
x^{6} \\
z
\end{array}\right)=\prod
\]

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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: $\boxed{6 \log(x) + \log(z)}$