Answer
$6$
Work Step by Step
$\ln e^x-\ln e^{3}=\ln e^{3}\Rightarrow \ln e^x=2\ln e^{3}\Rightarrow \ln e^x=\ln \left( e^{3}\right) ^{2}\Rightarrow \ln e^x=\ln e^6\Rightarrow x=6$
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