Mathematics-Online lexicon: Exponential and Logarithm Functions

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	Mathematics-Online lexicon:
	Exponential and Logarithm Functions

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

For

define

$\displaystyle y=a^x = \exp (x\ln a)$

with its inverse function

$\displaystyle x=\log_a y,\quad y>0.$

In particular, the abbreviations $\log=\log_{10}$ and $\operatorname{ld} = \log_2$ are commonly used for the logarithm to the base

and for the dual logarithm respectively.

$\includegraphics[height=5cm]{a_allg_logarithmus_bild1.eps}$		$\includegraphics[height=5cm]{a_allg_logarithmus_bild2.eps}$
		$f(x)= \operatorname{ld}(x)$

(Authors: Höllig/Kopf/Abele)

Example:

automatically generated 4/ 7/2008