Answer
$x=\ln5$ or $x=\ln3$
Work Step by Step
Let $u=e^x$
$e^{2x}-8^x+15=0$
$u^2-8u+15=0$
Factor.
$(u-5)(u-3)=0$
Equate each factor to 0.
$u=5$ or $u=3$
Since $e^x=u$
$e^x=5$ or $e^x=3$
$x=\ln5$ or $x=\ln3$
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