Getal & Ruimte (12e editie) - havo wiskunde B
'Logaritmen herleiden'.
| havo wiskunde B | 9.3 Rekenregels voor logaritmen |
opgave 1Herleid tot één logaritme. 1p a \({}^{3}\!\log(4) + {}^{3}\!\log(5 a + 2)\) Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 0ms - dynamic variables a \({}^{3}\!\log(4) + {}^{3}\!\log(5 a + 2)\) 1p 1p b \({}^{2}\!\log(5 x) - {}^{2}\!\log(x - 4)\) Aftrekken 00kv - Logaritmen herleiden - basis - eind - 1ms - dynamic variables b \({}^{2}\!\log(5 x) - {}^{2}\!\log(x - 4)\) 1p 2p c \(2 ⋅ {}^{4}\!\log(5 x)\) Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 1ms - dynamic variables c \(2 ⋅ {}^{4}\!\log(5 x)\) 1p ○ \(\text{ } = {}^{4}\!\log(25 x^{2})\) 1p 2p d \(4 ⋅ {}^{5}\!\log(p) + {}^{5}\!\log(2 p - 1)\) OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 0ms - dynamic variables d \(4 ⋅ {}^{5}\!\log(p) + {}^{5}\!\log(2 p - 1)\) 1p ○ \(\text{ } = {}^{5}\!\log(p^{4} ⋅ (2 p - 1))\) 1p opgave 2Herleid tot één logaritme. 2p a \(4 + {}^{3}\!\log(2 a - 5)\) Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 0ms - dynamic variables a \(4 + {}^{3}\!\log(2 a - 5)\) 1p ○ \(\text{ } = {}^{3}\!\log(81 ⋅ (2 a - 5))\) 1p 3p b \({}^{3}\!\log(9) + {}^{4}\!\log(5 p + 1)\) Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 0ms - dynamic variables b \({}^{3}\!\log(9) + {}^{4}\!\log(5 p + 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(4^{2}) + {}^{4}\!\log(5 p + 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(16 ⋅ (5 p + 1))\) 1p |