Answer
$\log_3{\left(\dfrac{u^2}{v} \right)}$
Work Step by Step
Recall:
$\log_a M^r = r \log_a M$
Use the rule above to obtain:
$2 \log_3 u = \log_3 u^2$
Thus,
$2 \log_3 u -\log_3 v = \log_3 u^2 - \log_3 v$
With $\log_a(\dfrac{M}{N}) = \log_a M-\log_a N$, then:
$2 \log_3 u -\log_3 v = \boxed{\log_3 \left(\dfrac{u^2}{v} \right)}$
