nature of e

The natural logarithm of a number is its logarithm to the base $e$ .

So, Natural log of $e^{7} = log_{e}e^{7}$

Let $log_{e}e^{7}=x$ which can be written as:

$e^{x}=e^{7}$

$x=7$

Thus, the answer is: $\boxed{log_{e}e^{7}=7}$