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Mathematics-Online course: Preparatory Course Mathematics - Analysis - Functions

Logarithm

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

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

\includegraphics[width=7.4cm]{graph_logarithmus}
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$.
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  automatically generated 1/9/2017