Answer
$\log_5 \left(\frac {x}{y^{\frac{1}{5}}}\right)$
Work Step by Step
Use the Power Property of Logarithms to rewrite this expression. The property states that $\log_b {m^n} = n \log_b {m}$. Thus, the given expression is equivalent to:
$$\log_5 {x} - \log_5 {y^{\frac{1}{5}}}$$
Use the Quotient Property of Logarithms. According to this property, $\log_b {m} - \log_b {n} = \log_b \frac {m}{n}$. Hence, the expression above is equivalent to:
$$\log_5 \frac {x}{y^{\frac{1}{5}}}$$
