# How do you write ln 100= 4.61 in exponential form?

Oct 20, 2015

${e}^{4.61} = 100$

#### Explanation:

ln (natural log) is the logarithm of $e$. You can rewrite this as:

$\ln 100 = 4.61$

${\log}_{e} 100 = 4.61$

Now let's recall how to convert a logarithm to exponential form. It is said that: ${\log}_{a} x = y \Leftrightarrow {a}^{y} = x$. We just have to apply that here.

${\log}_{e} 100 = 4.61 \Leftrightarrow \textcolor{red}{{e}^{4.61} = 100}$