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

Layman

Student

• 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

Researcher

Examples

Example1

Example2:

FAQ

History