Answer
$2log_7(x)+\frac{1}{4}log_7(y)-3log_7(z) $
Work Step by Step
Use the product, quotient and power rules of logarithms, we have:
$log_7(\frac{x^2\sqrt[4] y}{z^3})=log_7(x^2) +log_7(\sqrt[4] y) -log_7(z^3) =2log_7(x)+\frac{1}{4}log_7(y)-3log_7(z) $
