Difference between revisions of "Manuals/calci/LN"

Revision as of 23:58, 15 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, Failed to parse (unknown function "\appro"): {\displaystyle ln_10 = loge_10 = \appro 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

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 <div style="font-size:30px">'''LN(n)'''</div><br/>
-*where n is the positive real number.
+*where <math>n</math> is the positive real number.
 ==Description==
-*This function gives the natural logarithm of a number.
+*This function gives the Natural Logarithm of a number.
-*LN is the  logarithm in which the base is the irrational number e (= 2.71828 . . . ).
+*<math>LN</math> is the  logarithm in which the base is the irrational number <math>e</math> (<math>e</math>= 2.71828...).
-*For example, ln 10 = loge10 = approximately 2.30258.
+*For example, <math>ln_10 = loge_10 = \appro 2.30258</math>
 *Also called Napierian logarithm.
-*The constant e is called Euler's number.
+*The constant <math>e</math> is called Euler's number.
-*The natural logarithm is denoted by ln(x) or log e(x).
+*The Natural Logarithm is denoted by <math>ln(x)</math> or <math>log e(x)</math>.
-*where x is the Positive real number.
+*where <math>x</math> 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