Getal & Ruimte (13e editie) - havo wiskunde B
'Logaritmen herleiden'.
| havo wiskunde B | 9.3 Rekenregels voor logaritmen |
opgave 1Herleid tot één logaritme. 1p a \({}^{2}\!\log(4) + {}^{2}\!\log(3 a + 5)\) Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 0ms - dynamic variables a \({}^{2}\!\log(4) + {}^{2}\!\log(3 a + 5)\) 1p 1p b \({}^{3}\!\log(5) - {}^{3}\!\log(4 x + 1)\) Aftrekken 00kv - Logaritmen herleiden - basis - eind - 1ms - dynamic variables b \({}^{3}\!\log(5) - {}^{3}\!\log(4 x + 1)\) 1p 2p c \(4 ⋅ {}^{3}\!\log(5 x)\) Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 0ms - dynamic variables c \(4 ⋅ {}^{3}\!\log(5 x)\) 1p ○ \(\text{ } = {}^{3}\!\log(625 x^{4})\) 1p 2p d \(4 ⋅ {}^{3}\!\log(a) + {}^{3}\!\log(2 a + 1)\) OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 0ms - 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 \(3 + {}^{2}\!\log(5 p + 4)\) Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 0ms - dynamic variables a \(3 + {}^{2}\!\log(5 p + 4)\) 1p ○ \(\text{ } = {}^{2}\!\log(8 ⋅ (5 p + 4))\) 1p 3p b \({}^{4}\!\log(1\,024) + {}^{2}\!\log(a + 3)\) Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 0ms - dynamic variables b \({}^{4}\!\log(1\,024) + {}^{2}\!\log(a + 3)\) 1p ○ \(\text{ } = {}^{2}\!\log(2^{5}) + {}^{2}\!\log(a + 3)\) 1p ○ \(\text{ } = {}^{2}\!\log(32 ⋅ (a + 3))\) 1p |