# How do you write ln 0.2 = x in exponential form?

Sep 2, 2015

color(green)(e^x = 0.2

#### Explanation:

$\ln 0.2$ is the Natural Logarithm of 0.2

Natural logarithm is the logarithm to the base e of a number.

Hence $\ln 0.2 = x$ can be written as ${\log}_{e} 0.2 = x$

And we know that color(blue)(log_by = a is equivalent to color(blue)(b^a = y

Hence ${\log}_{e} 0.2 = x$ in exponential form can be written as color(green)(e^x = 0.2 in Exponential Form