Rekenen met logaritmen

\({}^{2}\!\log(4) = {}^{2}\!\log(2^{2}) = 2\)

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

\(\log(1\,000) = \log(10^{3}) = 3\)

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

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

\({}^{\frac{1}{3}}\!\log({}^{\frac{1}{3}}\!\log(81)) = {}^{\frac{1}{3}}\!\log(\frac{1}{3}^{-4}) = -4\)

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

\({}^{6}\!\log(6^{0{,}8}) = 0{,}8\)