Logaritmen herleiden

23 - 6 oefeningen

Optellen (1) 00ku - Logaritmen herleiden - basis - basis - 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 \({}^{2}\!\log(4) + {}^{2}\!\log(5 a + 1)\)	○ \({}^{2}\!\log(4) + {}^{2}\!\log(5 a + 1)\) \(\text{ } = {}^{2}\!\log(4 ⋅ (5 a + 1))\) \(\text{ } = {}^{2}\!\log(20 a + 4)\) 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 \({}^{4}\!\log(5) - {}^{4}\!\log(x + 2)\)	○ \({}^{4}\!\log(5) - {}^{4}\!\log(x + 2)\) \(\text{ } = {}^{4}\!\log({5 \over x + 2})\) 1p
Grondtal (1) 00ky - 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 \(3 + {}^{4}\!\log(2 p - 1)\)	○ \(3 + {}^{4}\!\log(2 p - 1)\) \(\text{ } = {}^{4}\!\log(4^{3}) + {}^{4}\!\log(2 p - 1)\) \(\text{ } = {}^{4}\!\log(64) + {}^{4}\!\log(2 p - 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(64 ⋅ (2 p - 1))\) \(\text{ } = {}^{4}\!\log(128 p - 64)\) 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 \(5 ⋅ {}^{4}\!\log(2 a)\)	○ \(5 ⋅ {}^{4}\!\log(2 a)\) \(\text{ } = {}^{4}\!\log((2 a)^{5})\) 1p ○ \(\text{ } = {}^{4}\!\log(32 a^{5})\) 1p
Grondtal (2) 00kz - 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. 3p \({}^{5}\!\log(625) + {}^{2}\!\log(3 x - 1)\)	○ \({}^{5}\!\log(625) + {}^{2}\!\log(3 x - 1)\) \(\text{ } = {}^{5}\!\log(5^{4}) + {}^{2}\!\log(3 x - 1)\) \(\text{ } = 4 + {}^{2}\!\log(3 x - 1)\) 1p ○ \(\text{ } = {}^{2}\!\log(2^{4}) + {}^{2}\!\log(3 x - 1)\) \(\text{ } = {}^{2}\!\log(16) + {}^{2}\!\log(3 x - 1)\) 1p ○ \(\text{ } = {}^{2}\!\log(16 ⋅ (3 x - 1))\) \(\text{ } = {}^{2}\!\log(48 x - 16)\) 1p
OptellenVermenigvuldigen 00kx - 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. 2p \(5 ⋅ {}^{4}\!\log(x) + {}^{4}\!\log(2 x - 3)\)	○ \(5 ⋅ {}^{4}\!\log(x) + {}^{4}\!\log(2 x - 3)\) \(\text{ } = {}^{4}\!\log(x^{5}) + {}^{4}\!\log(2 x - 3)\) 1p ○ \(\text{ } = {}^{4}\!\log(x^{5} ⋅ (2 x - 3))\) \(\text{ } = {}^{4}\!\log(2 x^{6} - 3 x^{5})\) 1p

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