# How do you solve lnx=2?

May 28, 2018

$x = {e}^{2}$

#### Explanation:

Base-$e$ cancels out with the natural log ($\ln$) function, so we can apply it to both sides. We get

${e}^{\ln x} = {e}^{2}$

${\cancel{e}}^{\cancel{\ln} x} = {e}^{2}$

Notice base-$e$ and $\ln$ cancel, and we're left with

$x = {e}^{2}$

Hope this helps!

Jun 22, 2018

color(green)(x = e^2 = 7.389
$\ln x = 2$
color(green)(x = e^2 = 7.389