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