Answer
$3\log{x} + 5 \log{y}$
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:
$\log$ ${x^3}$ + $\log$ ${y^{5}}$
Use the Power Property of Logarithms to rewrite this expression. The property states that $\log_b$ ${m^n}$ = $n$ $\log_b$ ${m}$. Thus, the expression above is equivalent to:
$3$ $\log$ ${x}$ + $5$ $\log$ ${y}$