Logaritmus azonosságok

\( \log_{a}{xy} = \log_{a}{x} + \log_{a}{y} \)

\( \log_{a}{ \frac{x}{y} } = \log_{a}{x} - \log_{a}{y} \)

\( \log_{a}{ x^n } = n\log_{a}{x} \)

\( \log_{a}{ \sqrt[n]{x^k} } = \frac{k}{n}\log_{a}{x} \)

\( \log_{a}{ x } = \frac{ \log_{b}{x} }{ \log_{b}{a} } \)