Intuitive

Concrete

• The best introduction is Demystifying the Natural Logarithm (ln) by Kalid Azad
• See also How To Think With Exponents And Logarithms by Kalid Azad and Using Logarithms in the Real World by Kalid Azad

Abstract

Why is it interesting?

Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of $e^x$, a strange enough exponent already.

But there’s a fresh, intuitive explanation: The natural log gives you the time needed to reach a certain level of growth. Demystifying the Natural Logarithm (ln) by Kalid Azad