Question

find the value of the logarithm.
in (e)
in (e) =

Explanation:

Step1: Recall the property of natural logarithm

The natural logarithm $\ln x$ is the inverse function of the exponential function $e^{x}$. That is, if $y = \ln x$, then $x=e^{y}$.
For $x = e$, we have $e=e^{y}$.

Step2: Solve for $y$

Since $e = e^{y}$, by the one - to - one property of the exponential function $f(x)=e^{x}$ (if $e^{a}=e^{b}$, then $a = b$), when $x = e$, we get $y = 1$.

Answer:

$1$