Getal & Ruimte (13e editie) - havo wiskunde B
'Rekenen met logaritmen'.
| havo wiskunde B | 5.5 Logaritmen |
opgave 1Bereken. 1p a \({}^{9}\!\log(81)\) Logaritme (1) 00fi - Rekenen met logaritmen - basis - 0ms a \({}^{9}\!\log(81) = {}^{9}\!\log(9^{2}) = 2\) 1p 1p b \({}^{8}\!\log(8)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{8}\!\log(8) = {}^{8}\!\log(8^{1}) = 1\) 1p 1p c \({}^{6}\!\log(\frac{1}{6})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms c \({}^{6}\!\log(\frac{1}{6}) = {}^{6}\!\log(6^{-1}) = -1\) 1p 1p d \({}^{\frac{1}{10}}\!\log(\frac{1}{100})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis - 0ms d \({}^{\frac{1}{10}}\!\log(\frac{1}{100}) = {}^{\frac{1}{10}}\!\log(\frac{1}{10}^{2}) = 2\) 1p opgave 2Bereken. 1p a \({}^{\frac{1}{10}}\!\log(100)\) Logaritme (6) 00fn - Rekenen met logaritmen - basis - 0ms a \({}^{\frac{1}{10}}\!\log({}^{\frac{1}{10}}\!\log(100)) = {}^{\frac{1}{10}}\!\log(\frac{1}{10}^{-2}) = -2\) 1p 1p b \({}^{8}\!\log(8 \sqrt{8})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms b \({}^{8}\!\log(8 \sqrt{8}) = {}^{8}\!\log(8^{1} ⋅ 8^{\frac{1}{2}}) = {}^{8}\!\log(8^{1\frac{1}{2}}) = 1\frac{1}{2}\) 1p 1p c \({}^{8}\!\log(8^{1{,}9})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms c \({}^{8}\!\log(8^{1{,}9}) = 1{,}9\) 1p |