# How do you solve Ln(e^(x) - 2)=3?

to get rid of the $\ln$ just raise make it a power of $e$
${e}^{x} - 2 = {e}^{3}$
${e}^{x} = {e}^{3} + 2$
now to get rid of $e$ you use $\ln$
$x = \ln \left({e}^{3} + 2\right)$