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