Logaritmen herleiden

23 - 6 oefeningen

Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 0ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 1p \({}^{2}\!\log(3 x) + {}^{2}\!\log(5 x + 4)\)	○ \({}^{2}\!\log(3 x) + {}^{2}\!\log(5 x + 4)\) \(\text{ } = {}^{2}\!\log(3 x ⋅ (5 x + 4))\) \(\text{ } = {}^{2}\!\log(15 x^{2} + 12 x)\) 1p
Aftrekken 00kv - Logaritmen herleiden - basis - eind - 1ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 1p \({}^{3}\!\log(2) - {}^{3}\!\log(p - 4)\)	○ \({}^{3}\!\log(2) - {}^{3}\!\log(p - 4)\) \(\text{ } = {}^{3}\!\log({2 \over p - 4})\) 1p
Grondtal (1) 00ky - Logaritmen herleiden - basis - midden - 0ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 2p \(2 + {}^{4}\!\log(5 a - 1)\)	○ \(2 + {}^{4}\!\log(5 a - 1)\) \(\text{ } = {}^{4}\!\log(4^{2}) + {}^{4}\!\log(5 a - 1)\) \(\text{ } = {}^{4}\!\log(16) + {}^{4}\!\log(5 a - 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(16 ⋅ (5 a - 1))\) \(\text{ } = {}^{4}\!\log(80 a - 16)\) 1p
Vermenigvuldigen 00kw - Logaritmen herleiden - basis - midden - 1ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 2p \(5 ⋅ {}^{4}\!\log(3 x)\)	○ \(5 ⋅ {}^{4}\!\log(3 x)\) \(\text{ } = {}^{4}\!\log((3 x)^{5})\) 1p ○ \(\text{ } = {}^{4}\!\log(243 x^{5})\) 1p
Grondtal (2) 00kz - Logaritmen herleiden - basis - eind - 0ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 3p \({}^{4}\!\log(64) + {}^{2}\!\log(a - 5)\)	○ \({}^{4}\!\log(64) + {}^{2}\!\log(a - 5)\) \(\text{ } = {}^{4}\!\log(4^{3}) + {}^{2}\!\log(a - 5)\) \(\text{ } = 3 + {}^{2}\!\log(a - 5)\) 1p ○ \(\text{ } = {}^{2}\!\log(2^{3}) + {}^{2}\!\log(a - 5)\) \(\text{ } = {}^{2}\!\log(8) + {}^{2}\!\log(a - 5)\) 1p ○ \(\text{ } = {}^{2}\!\log(8 ⋅ (a - 5))\) \(\text{ } = {}^{2}\!\log(8 a - 40)\) 1p
OptellenVermenigvuldigen 00kx - Logaritmen herleiden - basis - eind - 0ms - dynamic variables	Getal & Ruimte (12e editie) - havo wiskunde B - 9.3 Getal & Ruimte (12e editie) - vwo wiskunde B - 9.1
Herleid tot één logaritme. 2p \(5 ⋅ {}^{2}\!\log(x) + {}^{2}\!\log(3 x - 4)\)	○ \(5 ⋅ {}^{2}\!\log(x) + {}^{2}\!\log(3 x - 4)\) \(\text{ } = {}^{2}\!\log(x^{5}) + {}^{2}\!\log(3 x - 4)\) 1p ○ \(\text{ } = {}^{2}\!\log(x^{5} ⋅ (3 x - 4))\) \(\text{ } = {}^{2}\!\log(3 x^{6} - 4 x^{5})\) 1p

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