# What is the natural logarithm of e^4.5?

##### 1 Answer
Apr 5, 2015

The answer is $4.5$.
When you have an exponent in the argument of the logarithm, it can be "kicked to the front" as a multiplier.
$\ln {\left(e\right)}^{4.5} = 4.5 \ln \left(e\right)$
Since $\ln \left(e\right) = 1 , 4.5 \ln \left(e\right) = 4.5$.