This site is supported by donations to The OEIS Foundation.

Natural logarithm function

From OeisWiki
Jump to: navigation, search

This article page is a stub, please help by expanding it.

The natural logarithm function is the logarithm with base
, i.e. Euler’s number. It is the inverse function of the [natural] exponential function, also with base
, thus
is considered the “natural” base since we have
e  x
is the eigenfunction of the derivative, i.e.
In some scientific or engineering contexts, the notation
log x
may signify the common logarithm
log10 x
, in which case the natural logarithm is denoted
ln x


The natural log/e has ties to numerous applications, only a few of which include statistics (Poisson distribution), number theory (Prime number theorem), and thermodynamic (entropy).