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Calculation Rules for Power and Logarithm


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From the definition and the functional equalities of the exponential and logarithmic function follows

\begin{displaymath}
\begin{array}{rclrcl}
a^{s+t} &=& a^s \,a^t,\quad &
\log_a ...
...t &=& a^{st}\,\quad &
\log_a x^t &=& t \log_a x\,
.
\end{array}\end{displaymath}

Furthermore holds

$\displaystyle \log_b a\,\log_a x = \log_b x\,
.
$

Example:


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  automatically generated 4/ 8/2008