Natural logarithm

The natural logarithm, $\ln(x)$ is the inverse of the function $e^{x}$. In other words, if $y=e^{x}$, we define $\ln(y)=x$.

The natural logarithm has some interesting properties that follow from the multiplicative properties of $e^{x}$. I'd list them here, but last time I did that, this whole page got deleted. So the interested reader is advised to consult another internet resource like wikipedia.