# How do solve ln(x-5) = 3?

Oct 21, 2015

$x = {e}^{3} + 5$

#### Explanation:

Simply convert the logarithm to exponential form.

$\ln \left(x - 5\right) = 3$

${\log}_{e} \left(x - 5\right) = 3$

$\Leftrightarrow {e}^{3} = x - 5$

$\textcolor{red}{x = {e}^{3} + 5}$

I think you can leave it at that. $e$ is an irrational number, so you can't really get an exact number. It's around 25.0855369232, in case you're interested. :)