Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

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 overview

For $ a>0$ 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 $ 10$ and for the dual logarithm respectively.
\includegraphics[height=5cm]{a_allg_logarithmus_bild1.eps}   \includegraphics[height=5cm]{a_allg_logarithmus_bild2.eps}
$ f(x)=2^x$   $ f(x)= \operatorname{ld}(x)$

(Authors: Höllig/Kopf/Abele)

[Examples] [Links]

  automatically generated 4/ 7/2008