Getal & Ruimte (12e editie) - vwo wiskunde B
'Logaritmen herleiden'.
| vwo wiskunde B | 9.1 Rekenregels voor logaritmen |
opgave 1Herleid tot één logaritme. 1p a \({}^{5}\!\log(4 p) + {}^{5}\!\log(3 p - 1)\) Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 0ms - dynamic variables a \({}^{5}\!\log(4 p) + {}^{5}\!\log(3 p - 1)\) 1p 1p b \({}^{2}\!\log(3 a) - {}^{2}\!\log(4 a + 5)\) Aftrekken 00kv - Logaritmen herleiden - basis - eind - 1ms - dynamic variables b \({}^{2}\!\log(3 a) - {}^{2}\!\log(4 a + 5)\) 1p 2p c \(3 ⋅ {}^{2}\!\log(4 x)\) Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 0ms - dynamic variables c \(3 ⋅ {}^{2}\!\log(4 x)\) 1p ○ \(\text{ } = {}^{2}\!\log(64 x^{3})\) 1p 2p d \(3 ⋅ {}^{4}\!\log(a) + {}^{4}\!\log(2 a + 1)\) OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 0ms - dynamic variables d \(3 ⋅ {}^{4}\!\log(a) + {}^{4}\!\log(2 a + 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(a^{3} ⋅ (2 a + 1))\) 1p opgave 2Herleid tot één logaritme. 2p a \(2 + {}^{5}\!\log(x - 4)\) Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 0ms - dynamic variables a \(2 + {}^{5}\!\log(x - 4)\) 1p ○ \(\text{ } = {}^{5}\!\log(25 ⋅ (x - 4))\) 1p 3p b \({}^{2}\!\log(8) + {}^{4}\!\log(5 x + 1)\) Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 0ms - dynamic variables b \({}^{2}\!\log(8) + {}^{4}\!\log(5 x + 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(4^{3}) + {}^{4}\!\log(5 x + 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(64 ⋅ (5 x + 1))\) 1p |