Answer
$\log_5\frac{x^2}{y^2z^3}=2\log_5x-2\log_5y-3\log_5z$
Work Step by Step
$\log_5\frac{x^2}{y^2z^3}=\log_5x^2-\log_5y^2z^3=2\log_5x-(\log_5y^2+\log_5z^3)=2\log_5x-2\log_5y-3\log_5z$
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