Math and Physics

Expanding a logarithmic expression: Problem type $2$

Use the properties of logarithms to expand $log(y^5\sqrt[\phantom{2}]{\frac{(x+4{)}^5}{z}}).$

Each logarithm in your answer should involve only one variable. Assume that all variables are positive.

$log(y^5\sqrt[\phantom{2}]{\frac{(x+4{)}^5}{z}})=$