Getal & Ruimte (13e editie) - havo wiskunde B
'Rekenen met logaritmen'.
| havo wiskunde B | 5.5 Logaritmen |
opgave 1Bereken. 1p a \({}^{7}\!\log(49)\) Logaritme (1) 00fi - Rekenen met logaritmen - basis - 0ms a \({}^{7}\!\log(49) = {}^{7}\!\log(7^{2}) = 2\) 1p 1p b \({}^{5}\!\log(5)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{5}\!\log(5) = {}^{5}\!\log(5^{1}) = 1\) 1p 1p c \({}^{2}\!\log(\frac{1}{4})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms c \({}^{2}\!\log(\frac{1}{4}) = {}^{2}\!\log(2^{-2}) = -2\) 1p 1p d \({}^{\frac{1}{3}}\!\log(\frac{1}{27})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis - 0ms d \({}^{\frac{1}{3}}\!\log(\frac{1}{27}) = {}^{\frac{1}{3}}\!\log(\frac{1}{3}^{3}) = 3\) 1p opgave 2Bereken. 1p a \({}^{\frac{1}{3}}\!\log(9)\) Logaritme (6) 00fn - Rekenen met logaritmen - basis - 0ms a \({}^{\frac{1}{3}}\!\log({}^{\frac{1}{3}}\!\log(9)) = {}^{\frac{1}{3}}\!\log(\frac{1}{3}^{-2}) = -2\) 1p 1p b \({}^{6}\!\log(36 \sqrt{6})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms b \({}^{6}\!\log(36 \sqrt{6}) = {}^{6}\!\log(6^{2} ⋅ 6^{\frac{1}{2}}) = {}^{6}\!\log(6^{2\frac{1}{2}}) = 2\frac{1}{2}\) 1p 1p c \({}^{3}\!\log(3^{2{,}8})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms c \({}^{3}\!\log(3^{2{,}8}) = 2{,}8\) 1p |