Answer
$2-\frac{1}{2}\log_3x$
Work Step by Step
Use the Quotient Property and the Power Property. Also, remember that $\log_aa=1$
$\log_3\frac{9}{\sqrt x}=\log_39-\log_3\sqrt x=\log_33^2-\log_3x^{\frac{1}{2}}=2\log_33-\frac{1}{2}\log_3x=2(1)-\frac{1}{2}\log_3x=2-\frac{1}{2}\log_3x$
