# How do you evaluate e^ln3?

Feb 12, 2015

Try to write it as a log:
$\ln \left(x\right) = \ln 3$ which is: $x = {e}^{\ln \left(3\right)}$
But to have:
$\ln \left(x\right) = \ln 3$ means that $x = 3$ or: ${e}^{\ln \left(3\right)} = 3$

Aug 5, 2018

$3$
Since base-$e$ and natural log ($\ln$) are inverses, they cancel, and we're left with
${\cancel{e}}^{\cancel{\ln} 3} = 3$