Answer
$2\log _{a}u+3\log _{a}v$
Work Step by Step
We use the rules of logs to obtain:
$\log _{a}u^{2}v^{3}=\log _{a}u^{2}+\log _{a}v^{3}=2\log _{a}u+3\log _{a}v$
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