Все материалы

\[a^{\log_a{b}} = b\]

\[\log_a(b c) = \log_a {b} + \log_a{c}\]

\[\log_a \left ( \frac{b}{c} \right ) = \log_a|b| - \log_a|c|\]

\[\log_a{b^n} = \left\{ \begin{array}{ll} n \log_a|b| \Leftrightarrow \textrm{$n \vdots 2$}\\ n \log_a{b} \Leftrightarrow \textrm{$n \not \vdots~ 2$} \end{array} \right.\]

\[\log_a{b} = \frac{ \log_c{b} }{ \log_c{a} } \]