Answer
1
Work Step by Step
We know that the logarithmic function of base $e$, or the natural logarithmic function, can be written as $f(x)=ln(x)$ or as $f(x)=log_{e}x$.
Therefore, $ln(e)=log_{e}e$.
From the definition of the logarithmic function on page 456, we know that $b^{y}=x$ is equivalent to $y=log_{b}x$ (for $x\gt0$, $b\gt0$, and $b\ne1$).
Therefore, $log_{e}e=1$, because $e^{1}=e$.