Rekenen met logaritmen

\({}^{5}\!\log(25) = {}^{5}\!\log(5^{2}) = 2\)

\({}^{2}\!\log(2) = {}^{2}\!\log(2^{1}) = 1\)

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

\({}^{8}\!\log(\frac{1}{8}) = {}^{8}\!\log(8^{-1}) = -1\)

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

\({}^{\frac{1}{2}}\!\log({}^{\frac{1}{2}}\!\log(4)) = {}^{\frac{1}{2}}\!\log(\frac{1}{2}^{-2}) = -2\)

\({}^{2}\!\log(32 \sqrt{2}) = {}^{2}\!\log(2^{5} ⋅ 2^{\frac{1}{2}}) = {}^{2}\!\log(2^{5\frac{1}{2}}) = 5\frac{1}{2}\)

\({}^{3}\!\log(3^{2{,}2}) = 2{,}2\)