Getal & Ruimte (13e 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 \({}^{2}\!\log(1)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{2}\!\log(1) = {}^{2}\!\log(2^{0}) = 0\) 1p 1p c \({}^{6}\!\log(\frac{1}{36})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms c \({}^{6}\!\log(\frac{1}{36}) = {}^{6}\!\log(6^{-2}) = -2\) 1p 1p d \({}^{\frac{1}{3}}\!\log(\frac{1}{81})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis - 0ms d \({}^{\frac{1}{3}}\!\log(\frac{1}{81}) = {}^{\frac{1}{3}}\!\log(\frac{1}{3}^{4}) = 4\) 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 \({}^{2}\!\log(64 \sqrt{2})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms b \({}^{2}\!\log(64 \sqrt{2}) = {}^{2}\!\log(2^{6} ⋅ 2^{\frac{1}{2}}) = {}^{2}\!\log(2^{6\frac{1}{2}}) = 6\frac{1}{2}\) 1p 1p c \({}^{9}\!\log(9^{1{,}8})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms c \({}^{9}\!\log(9^{1{,}8}) = 1{,}8\) 1p |
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| havo wiskunde B | 9.2 Werken met logaritmen |
opgave 1Bereken. 1p \(\log(10)\) Logaritme (3) 00fk - Rekenen met logaritmen - basis - 0ms ○ \(\log(10) = \log(10^{1}) = 1\) 1p |