# Motivation for logarithmic function [duplicate]

What was John Napier's motivation to introduce the logarithmic function?

It neither makes the calculations easier nor accurate (at least for me). How could people think of its importance even before Calculus came into play and showed its connection with the exponential function or, area under the graph $\dfrac{1}{x}$ ?

## marked as duplicate by Parcly Taxel, Somos, user99914, Leucippus, TaroccoesbroccoJul 13 '18 at 5:52

• Also, mathematics and what mathematicians do is not just about "calculation". The natural logarithm and Napier number $e$ are interesting on their own (similar to how $\pi$ is interesting). For example, $\lim_{n\to \infty}(1+1/n)^n = e$, or $\sum_{n=0}^\infty 1/n!=e$, which (although today might seem obvious) is quite interesting. – Hamed Jul 12 '18 at 14:59