Getal & Ruimte (12e editie) - havo wiskunde B
'Rekenen met logaritmen'.
| havo wiskunde B | 5.5 Logaritmen |
opgave 1Bereken. 1p a \({}^{6}\!\log(36)\) Logaritme (1) 00fi - Rekenen met logaritmen - basis - 0ms a \({}^{6}\!\log(36) = {}^{6}\!\log(6^{2}) = 2\) 1p 1p b \({}^{9}\!\log(1)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{9}\!\log(1) = {}^{9}\!\log(9^{0}) = 0\) 1p 1p c \(\log(1\,000)\) Logaritme (3) 00fk - Rekenen met logaritmen - basis - 0ms c \(\log(1\,000) = \log(10^{3}) = 3\) 1p 1p d \({}^{7}\!\log(\frac{1}{49})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms d \({}^{7}\!\log(\frac{1}{49}) = {}^{7}\!\log(7^{-2}) = -2\) 1p opgave 2Bereken. 1p a \({}^{\frac{1}{10}}\!\log(\frac{1}{100})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis - 0ms a \({}^{\frac{1}{10}}\!\log(\frac{1}{100}) = {}^{\frac{1}{10}}\!\log(\frac{1}{10}^{2}) = 2\) 1p 1p b \({}^{\frac{1}{8}}\!\log(64)\) Logaritme (6) 00fn - Rekenen met logaritmen - basis - 0ms b \({}^{\frac{1}{8}}\!\log({}^{\frac{1}{8}}\!\log(64)) = {}^{\frac{1}{8}}\!\log(\frac{1}{8}^{-2}) = -2\) 1p 1p c \({}^{9}\!\log(9 \sqrt{9})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms c \({}^{9}\!\log(9 \sqrt{9}) = {}^{9}\!\log(9^{1} ⋅ 9^{\frac{1}{2}}) = {}^{9}\!\log(9^{1\frac{1}{2}}) = 1\frac{1}{2}\) 1p 1p d \({}^{3}\!\log(3^{7{,}1})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms d \({}^{3}\!\log(3^{7{,}1}) = 7{,}1\) 1p |