Answer
$\frac{1}{2}log_3(x)+log_3(y)-log_3(p)-4log_3(q)$
Work Step by Step
Use the product rule, the quotient rule and the power rule, we have
$log_3{\frac{\sqrt x\cdot y}{pq^4}}=log_3(\sqrt x)+log_3(y)-log_3(p)-log_3(q^4)=\frac{1}{2}log_3(x)+log_3(y)-log_3(p)-4log_3(q)$
