# What is the logarithmic form of e^a =38.47?

Sep 16, 2016

$a = \ln \left(38.47\right)$

#### Explanation:

We have: ${e}^{a} = 38.47$

Let's apply $\ln$ to both sides of the equation:

$\implies \ln \left({e}^{a}\right) = \ln \left(38.47\right)$

Using the laws of logarithms:

$\implies a \ln \left(e\right) = \ln \left(38.47\right)$

$\implies a \cdot 1 = \ln \left(38.47\right)$

$\implies a = \ln \left(38.47\right)$