# How do you simplify Ln(e^-2)?

Oct 8, 2016

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

#### Explanation:

$\ln$ denotes natural logarithm i.e. to the base $e$

Hence $\ln \left({e}^{- 2}\right)$

= $\left(- 2\right) \times \ln e$

= $\left(- 2\right) \times 1$

= $- 2$