# How do you evaluate lne^45?

Nov 17, 2016

## 45

#### Explanation:

two of the laws of logs are:

1) ${\log}_{a} {x}^{n} = n {\log}_{a} x , \forall a \in \mathbb{R}$

2) ${\log}_{a} a = 1 , \forall a \in \mathbb{R}$

so $\ln {e}^{45}$

$= 45 \ln e$

$\ln$ is to base $e$

$\therefore = 45$