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 \({}^{2}\!\log(5) + {}^{2}\!\log(4 a + 3)\)	○ \({}^{2}\!\log(5) + {}^{2}\!\log(4 a + 3)\) \(\text{ } = {}^{2}\!\log(5 ⋅ (4 a + 3))\) \(\text{ } = {}^{2}\!\log(20 a + 15)\) 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 \({}^{4}\!\log(2 a) - {}^{4}\!\log(3 a + 5)\)	○ \({}^{4}\!\log(2 a) - {}^{4}\!\log(3 a + 5)\) \(\text{ } = {}^{4}\!\log({2 a \over 3 a + 5})\) 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 \(5 + {}^{4}\!\log(3 x - 1)\)	○ \(5 + {}^{4}\!\log(3 x - 1)\) \(\text{ } = {}^{4}\!\log(4^{5}) + {}^{4}\!\log(3 x - 1)\) \(\text{ } = {}^{4}\!\log(1\,024) + {}^{4}\!\log(3 x - 1)\) 1p ○ \(\text{ } = {}^{4}\!\log(1\,024 ⋅ (3 x - 1))\) \(\text{ } = {}^{4}\!\log(3\,072 x - 1\,024)\) 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 \(4 ⋅ {}^{5}\!\log(3 p)\)	○ \(4 ⋅ {}^{5}\!\log(3 p)\) \(\text{ } = {}^{5}\!\log((3 p)^{4})\) 1p ○ \(\text{ } = {}^{5}\!\log(81 p^{4})\) 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 \({}^{3}\!\log(243) + {}^{4}\!\log(x + 2)\)	○ \({}^{3}\!\log(243) + {}^{4}\!\log(x + 2)\) \(\text{ } = {}^{3}\!\log(3^{5}) + {}^{4}\!\log(x + 2)\) \(\text{ } = 5 + {}^{4}\!\log(x + 2)\) 1p ○ \(\text{ } = {}^{4}\!\log(4^{5}) + {}^{4}\!\log(x + 2)\) \(\text{ } = {}^{4}\!\log(1\,024) + {}^{4}\!\log(x + 2)\) 1p ○ \(\text{ } = {}^{4}\!\log(1\,024 ⋅ (x + 2))\) \(\text{ } = {}^{4}\!\log(1\,024 x + 2\,048)\) 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 \(3 ⋅ {}^{5}\!\log(x) + {}^{5}\!\log(2 x - 1)\)	○ \(3 ⋅ {}^{5}\!\log(x) + {}^{5}\!\log(2 x - 1)\) \(\text{ } = {}^{5}\!\log(x^{3}) + {}^{5}\!\log(2 x - 1)\) 1p ○ \(\text{ } = {}^{5}\!\log(x^{3} ⋅ (2 x - 1))\) \(\text{ } = {}^{5}\!\log(2 x^{4} - x^{3})\) 1p

00ku 00kv 00ky 00kw 00kz 00kx