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 \({}^{3}\!\log(2 p) + {}^{3}\!\log(5 p - 1)\)	○ \({}^{3}\!\log(2 p) + {}^{3}\!\log(5 p - 1)\) \(\text{ } = {}^{3}\!\log(2 p ⋅ (5 p - 1))\) \(\text{ } = {}^{3}\!\log(10 p^{2} - 2 p)\) 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 \({}^{5}\!\log(3) - {}^{5}\!\log(x - 2)\)	○ \({}^{5}\!\log(3) - {}^{5}\!\log(x - 2)\) \(\text{ } = {}^{5}\!\log({3 \over x - 2})\) 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 \(5 + {}^{2}\!\log(4 a - 1)\)	○ \(5 + {}^{2}\!\log(4 a - 1)\) \(\text{ } = {}^{2}\!\log(2^{5}) + {}^{2}\!\log(4 a - 1)\) \(\text{ } = {}^{2}\!\log(32) + {}^{2}\!\log(4 a - 1)\) 1p ○ \(\text{ } = {}^{2}\!\log(32 ⋅ (4 a - 1))\) \(\text{ } = {}^{2}\!\log(128 a - 32)\) 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 \(2 ⋅ {}^{3}\!\log(x + 1)\)	○ \(2 ⋅ {}^{3}\!\log(x + 1)\) \(\text{ } = {}^{3}\!\log((x + 1)^{2})\) 1p ○ \(\text{ } = {}^{3}\!\log(x^{2} + 2 x + 1)\) 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 \({}^{5}\!\log(625) + {}^{2}\!\log(a + 3)\)	○ \({}^{5}\!\log(625) + {}^{2}\!\log(a + 3)\) \(\text{ } = {}^{5}\!\log(5^{4}) + {}^{2}\!\log(a + 3)\) \(\text{ } = 4 + {}^{2}\!\log(a + 3)\) 1p ○ \(\text{ } = {}^{2}\!\log(2^{4}) + {}^{2}\!\log(a + 3)\) \(\text{ } = {}^{2}\!\log(16) + {}^{2}\!\log(a + 3)\) 1p ○ \(\text{ } = {}^{2}\!\log(16 ⋅ (a + 3))\) \(\text{ } = {}^{2}\!\log(16 a + 48)\) 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 \(4 ⋅ {}^{3}\!\log(x) + {}^{3}\!\log(2 x + 1)\)	○ \(4 ⋅ {}^{3}\!\log(x) + {}^{3}\!\log(2 x + 1)\) \(\text{ } = {}^{3}\!\log(x^{4}) + {}^{3}\!\log(2 x + 1)\) 1p ○ \(\text{ } = {}^{3}\!\log(x^{4} ⋅ (2 x + 1))\) \(\text{ } = {}^{3}\!\log(2 x^{5} + x^{4})\) 1p

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