Difference between revisions of "Manuals/calci/LN"

Revision as of 00:46, 16 December 2013

LN(n)

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, $ln_{1}0=loge_{1}0\approx 2.30258$
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 $e^{ln(x)}=x$ if $x>0$ .
$ln(e^{x})=x$

@@ Line 10: / Line 10: @@
 *The Natural Logarithm is denoted by <math>ln(x)</math> or <math>log e(x)</math>.
 *where <math>x</math> is the Positive real number.
-*The <math>ln(x)</math> is the inverse function of the exponential function <math>e^ln(x)=x</math> if <math>x>0</math>.
+*The <math>ln(x)</math> is the inverse function of the exponential function <math>e^{ln(x)}=x</math> if <math>x>0</math>.
 *<math>ln(e^x)=x</math>