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 \({}^{2}\!\log(2)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{2}\!\log(2) = {}^{2}\!\log(2^{1}) = 1\) 1p 1p c \({}^{8}\!\log(\frac{1}{8})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms c \({}^{8}\!\log(\frac{1}{8}) = {}^{8}\!\log(8^{-1}) = -1\) 1p 1p d \({}^{\frac{1}{6}}\!\log(\frac{1}{36})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis - 0ms d \({}^{\frac{1}{6}}\!\log(\frac{1}{36}) = {}^{\frac{1}{6}}\!\log(\frac{1}{6}^{2}) = 2\) 1p opgave 2Bereken. 1p a \({}^{\frac{1}{6}}\!\log(36)\) Logaritme (6) 00fn - Rekenen met logaritmen - basis - 0ms a \({}^{\frac{1}{6}}\!\log({}^{\frac{1}{6}}\!\log(36)) = {}^{\frac{1}{6}}\!\log(\frac{1}{6}^{-2}) = -2\) 1p 1p b \({}^{3}\!\log(3 \sqrt{3})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms b \({}^{3}\!\log(3 \sqrt{3}) = {}^{3}\!\log(3^{1} ⋅ 3^{\frac{1}{2}}) = {}^{3}\!\log(3^{1\frac{1}{2}}) = 1\frac{1}{2}\) 1p 1p c \({}^{9}\!\log(9^{0{,}6})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms c \({}^{9}\!\log(9^{0{,}6}) = 0{,}6\) 1p |
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| havo wiskunde B | 9.2 Werken met logaritmen |
opgave 1Bereken. 1p \(\log(100\,000)\) Logaritme (3) 00fk - Rekenen met logaritmen - basis - 0ms ○ \(\log(100\,000) = \log(10^{5}) = 5\) 1p |