Answer
a) $x=\ln5$
b) $x=e^2$
c) $x=\ln(\ln2)$
d) $x=\tan1$
Work Step by Step
a) $\ln(e^x)=\ln5, x=\ln5$
b) $e^{\ln x}=e^2, x=e^2$
c) $\ln(e^{e^x})=\ln2,$ $e^x=\ln2,$ $x=\ln(e^x)=\ln(\ln2)$
d) $\tan(\tan^{-1}(x))=\tan1, x=\tan1$
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