# How do you solve 19 + 2 ln x = 25?

Apr 29, 2016

$x = {e}^{3}$

#### Explanation:

First of all, let us start by doing simple changes:
$19 + 2 \ln x = 25$
$2 \ln x = 25 - 19$
$2 \ln x = 6$
----------------------->>>>> we applied simple side by side manipulations, now we will do the division by 2 in both the sides, it will end up this:
$\ln x = 3$
--------------->>>>>> now we will use the inverse of ln, which is $e$
${e}^{\ln x} = {e}^{3}$
$x = {e}^{3}$ ----->>> now you should use a calculator or the problem may have this as solution depending on the assignment guidelines.