Answer
$= \log 3 + 3\log x + 5\log y - 4\log z$
Work Step by Step
$\log \frac{3x^{3}y^{5}}{z^{4}}$
$= \log 3x^{3}y^{5} - \log z^{4}$
$= \log 3 + \log x^{3} + \log y^{5} - \log z^{4}$
$= \log 3 + 3\log x + 5\log y - 4\log z$
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