Answer
See explanation
Work Step by Step
The change of base property states that: for any logarithm base $a$ and $b$ and any positive number M,
$\log_{b}M=\frac{\log_{a}M}{ \log_{a}b}$
The logarithm of $M$ with base $b$ is equal to the logarithms of $M$ with any new base divided by the logarithm of $b$ with that new base,
Therefore,
$$\log e=\frac{\log_{e} e}{\log_{e}10}=\frac{1}{\ln 10}$$