Getal & Ruimte (12e editie) - havo wiskunde B
'Logaritmen herleiden'.
| havo wiskunde B | 9.3 Rekenregels voor logaritmen |
opgave 1Herleid tot één logaritme. 1p a \({}^{2}\!\log(5) + {}^{2}\!\log(4 p + 1)\) Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 0ms - dynamic variables a \({}^{2}\!\log(5) + {}^{2}\!\log(4 p + 1)\) 1p 1p b \({}^{4}\!\log(2) - {}^{4}\!\log(3 x - 1)\) Aftrekken 00kv - Logaritmen herleiden - basis - eind - 0ms - dynamic variables b \({}^{4}\!\log(2) - {}^{4}\!\log(3 x - 1)\) 1p 2p c \(2 ⋅ {}^{5}\!\log(a + 3)\) Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 1ms - dynamic variables c \(2 ⋅ {}^{5}\!\log(a + 3)\) 1p ○ \(\text{ } = {}^{5}\!\log(a^{2} + 6 a + 9)\) 1p 2p d \(5 ⋅ {}^{3}\!\log(a) + {}^{3}\!\log(4 a + 2)\) OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 0ms - dynamic variables d \(5 ⋅ {}^{3}\!\log(a) + {}^{3}\!\log(4 a + 2)\) 1p ○ \(\text{ } = {}^{3}\!\log(a^{5} ⋅ (4 a + 2))\) 1p opgave 2Herleid tot één logaritme. 2p a \(5 + {}^{3}\!\log(4 x + 2)\) Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 0ms - dynamic variables a \(5 + {}^{3}\!\log(4 x + 2)\) 1p ○ \(\text{ } = {}^{3}\!\log(243 ⋅ (4 x + 2))\) 1p 3p b \({}^{5}\!\log(625) + {}^{2}\!\log(3 x + 1)\) Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 0ms - dynamic variables b \({}^{5}\!\log(625) + {}^{2}\!\log(3 x + 1)\) 1p ○ \(\text{ } = {}^{2}\!\log(2^{4}) + {}^{2}\!\log(3 x + 1)\) 1p ○ \(\text{ } = {}^{2}\!\log(16 ⋅ (3 x + 1))\) 1p |