Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Calculation Rules for Power and Logarithm

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
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:

[Annotations] [Links]
  automatically generated 4/ 8/2008