Manuals/calci/LN

LN(n)

Description

This function gives the Natural Logarithm of a number.
$LN$ is the logarithm in which the base is the irrational number $e$ ( $e$ = 2.71828...).
For example, $ln_{1}0=loge_{1}0\approx 2.30258$
It was formely also called Hyperbolic logarithm.
And also called Napierian logarithm.
The constant $e$ is called Euler's number.
The Natural Logarithm is denoted by $ln(x)$ or $loge(x)$ .
where $x$ is the Positive real number.
The $ln(x)$ is the inverse function of the exponential function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^{ln(x)}=x} if Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x>0} .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ln(e^x)=x}