Rekenen met logaritmen

\({}^{5}\!\log(125) = {}^{5}\!\log(5^{3}) = 3\)

\({}^{4}\!\log(4) = {}^{4}\!\log(4^{1}) = 1\)

\(\log(100\,000) = \log(10^{5}) = 5\)

\({}^{6}\!\log(\frac{1}{36}) = {}^{6}\!\log(6^{-2}) = -2\)

\({}^{\frac{1}{9}}\!\log(\frac{1}{81}) = {}^{\frac{1}{9}}\!\log(\frac{1}{9}^{2}) = 2\)

\({}^{\frac{1}{10}}\!\log({}^{\frac{1}{10}}\!\log(100)) = {}^{\frac{1}{10}}\!\log(\frac{1}{10}^{-2}) = -2\)

\({}^{4}\!\log(16 \sqrt{4}) = {}^{4}\!\log(4^{2} ⋅ 4^{\frac{1}{2}}) = {}^{4}\!\log(4^{2\frac{1}{2}}) = 2\frac{1}{2}\)

\({}^{9}\!\log(9^{8{,}1}) = 8{,}1\)