Getal & Ruimte (12e editie) - havo wiskunde B
'Logaritmen herleiden'.
| havo wiskunde B | 9.3 Rekenregels voor logaritmen |
opgave 1Herleid tot één logaritme. 1p a \({}^{3}\!\log(4 a) + {}^{3}\!\log(5 a - 2)\) Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 1ms - dynamic variables a \({}^{3}\!\log(4 a) + {}^{3}\!\log(5 a - 2)\) 1p 1p b \({}^{2}\!\log(5) - {}^{2}\!\log(3 p - 1)\) Aftrekken 00kv - Logaritmen herleiden - basis - eind - 1ms - dynamic variables b \({}^{2}\!\log(5) - {}^{2}\!\log(3 p - 1)\) 1p 2p c \(4 ⋅ {}^{2}\!\log(3 x)\) Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 1ms - dynamic variables c \(4 ⋅ {}^{2}\!\log(3 x)\) 1p ○ \(\text{ } = {}^{2}\!\log(81 x^{4})\) 1p 2p d \(4 ⋅ {}^{3}\!\log(a) + {}^{3}\!\log(2 a - 1)\) OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 1ms - dynamic variables d \(4 ⋅ {}^{3}\!\log(a) + {}^{3}\!\log(2 a - 1)\) 1p ○ \(\text{ } = {}^{3}\!\log(a^{4} ⋅ (2 a - 1))\) 1p opgave 2Herleid tot één logaritme. 2p a \(5 + {}^{3}\!\log(x - 4)\) Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 1ms - dynamic variables a \(5 + {}^{3}\!\log(x - 4)\) 1p ○ \(\text{ } = {}^{3}\!\log(243 ⋅ (x - 4))\) 1p 3p b \({}^{4}\!\log(64) + {}^{5}\!\log(x - 2)\) Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 1ms - dynamic variables b \({}^{4}\!\log(64) + {}^{5}\!\log(x - 2)\) 1p ○ \(\text{ } = {}^{5}\!\log(5^{3}) + {}^{5}\!\log(x - 2)\) 1p ○ \(\text{ } = {}^{5}\!\log(125 ⋅ (x - 2))\) 1p |