Answer
$\log\left(\dfrac{a^3}{b^2}\right)$
Work Step by Step
Recall:
(1) $n\cdot \log_a{b}=\log_a{b^n}$ (Power Rule)
(2) $\log_a{b}-\log_a{c}=\log_a{\frac{b}{c}}$
Use the Power Rule to obtain:
$=\log{a^3}-\log{b^2}$
Use the Quotient Rule to obtain:
$=\log\left(\dfrac{a^3}{b^2}\right)$
