Answer
$= \log 3 + \log x+ 5\log y - \frac{1}{2}\log z$
Work Step by Step
$\log (\frac{3xy^{5}}{\sqrt z})$
$= \log 3xy^{5} - \log \sqrt z$
$= \log 3 + \log x+ \log y^{5} - \log z^{\frac{1}{2}}$
$= \log 3 + \log x+ 5\log y - \frac{1}{2}\log z$