Answer
$\frac{1}{3}\log_7x-\log_719$
Work Step by Step
Use the Quotient Property and the Power Property. Also, remember that $\log_aa=1$
$\log_7\frac{\sqrt[3] x}{19}=\log_7\sqrt[3] x-\log_719=\log_7x^{\frac{1}{3}}-\log_719=\frac{1}{3}\log_7x-\log_719$