Getal & Ruimte (13e editie) - havo wiskunde B
'Rekenen met logaritmen'.
| havo wiskunde B | 5.5 Logaritmen |
opgave 1Bereken. 1p a \({}^{4}\!\log(64)\) Logaritme (1) 00fi - Rekenen met logaritmen - basis - 0ms a \({}^{4}\!\log(64) = {}^{4}\!\log(4^{3}) = 3\) 1p 1p b \({}^{3}\!\log(1)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis - 0ms b \({}^{3}\!\log(1) = {}^{3}\!\log(3^{0}) = 0\) 1p 1p c \({}^{2}\!\log(\frac{1}{2})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis - 0ms c \({}^{2}\!\log(\frac{1}{2}) = {}^{2}\!\log(2^{-1}) = -1\) 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 \({}^{\frac{1}{10}}\!\log(100)\) 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 \({}^{7}\!\log(7 \sqrt{7})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis - 0ms b \({}^{7}\!\log(7 \sqrt{7}) = {}^{7}\!\log(7^{1} ⋅ 7^{\frac{1}{2}}) = {}^{7}\!\log(7^{1\frac{1}{2}}) = 1\frac{1}{2}\) 1p 1p c \({}^{8}\!\log(8^{4{,}3})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis - 0ms c \({}^{8}\!\log(8^{4{,}3}) = 4{,}3\) 1p |