Answer
$\log_{7}\left({\frac{xy}{z}}\right)$
Work Step by Step
Use the Product Property of Logarithms. According to this property, $\log_b {mn} = \log_b {m} + \log_b {n}$. Thus, the given expression is equivalent to:
$\log_{7}{(x)(y)} - \log_{7}{z}$
Use the Quotient Property of Logarithms. According to this property, $\log_b {m} - \log_b {n} = \log_b \frac {m}{n}$. Thus, the expression above is equivalent to:
$\log_{7}\left({\frac{xy}{z}}\right)$