# What is ln of 0.100#?

Mar 22, 2018

$\ln 0.100 = - 2.3026$

#### Explanation:

$\ln$ is used for Napier's or natural logarithm i.e. to the base $10$.

Now $0.100 = {10}^{- 1}$

hence $\log 0.100 = - 1$

As $\ln 0.100 = \log \frac{0.100}{\log} e$ - here $\log$ is used with base$10$

$\ln 0.100 = - \frac{1}{\log} e = - \frac{1}{0.4343} = - 2.3026$