# How do you simplify ln e^2?

Apr 27, 2018

2

#### Explanation:

$\ln \left(x\right)$ is asking $e$ to the power of what is $x$

In this case, $e$ to the power of $2$ is ${e}^{2}$

thus, $\ln \left({e}^{2}\right) = 2$

Another way is using the property of logarithms that says $\ln \left({a}^{b}\right) = b \cdot \ln \left(a\right)$

In this case, $a = e$ and $b = 2$
Thus, $\ln \left({e}^{2}\right) = 2 \cdot \ln \left(e\right) = 2 \cdot 1 = 2$