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Mathematics-Online lexicon:

Logarithmic Function

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

The logarithmic function is the inverse function of the exponential function:

$\displaystyle y=e^x \quad\Leftrightarrow\quad x=\ln y .$

It maps $ (0,\infty)$ monotone on $ \mathbb{R}$ and satisfies the functional equality

$\displaystyle \ln(xy) = \ln x + \ln y .$

In particular $ \ln (1/x)=-\ln x$.
[Examples] [Links]

  automatically generated 4/ 8/2008