# How do you solve e^x=4 ?

Jun 25, 2016

The solution is $x = 1.38$

#### Explanation:

The operation inverse of the exponential is the logarithm.
Then we apply the natural logarithm ($\ln$) on both sides of the equation:

${e}^{x} = 4$

$\ln \left({e}^{x}\right) = \ln \left(4\right)$

$x = \ln \left(4\right) \setminus \approx 1.38$.