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

\({}^{4}\!\log(3) + {}^{4}\!\log(2 a - 1)\)

\({}^{4}\!\log(3) + {}^{4}\!\log(2 a - 1)\)
\(\text{ } = {}^{4}\!\log(3 ⋅ (2 a - 1))\)
\(\text{ } = {}^{4}\!\log(6 a - 3)\)

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

\({}^{5}\!\log(3) - {}^{5}\!\log(2 x - 4)\)

\({}^{5}\!\log(3) - {}^{5}\!\log(2 x - 4)\)
\(\text{ } = {}^{5}\!\log({3 \over 2 x - 4})\)

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

\(2 + {}^{4}\!\log(x + 5)\)

\(2 + {}^{4}\!\log(x + 5)\)
\(\text{ } = {}^{4}\!\log(4^{2}) + {}^{4}\!\log(x + 5)\)
\(\text{ } = {}^{4}\!\log(16) + {}^{4}\!\log(x + 5)\)

1p

\(\text{ } = {}^{4}\!\log(16 ⋅ (x + 5))\)
\(\text{ } = {}^{4}\!\log(16 x + 80)\)

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

\(2 ⋅ {}^{3}\!\log(a + 4)\)

\(2 ⋅ {}^{3}\!\log(a + 4)\)
\(\text{ } = {}^{3}\!\log((a + 4)^{2})\)

1p

\(\text{ } = {}^{3}\!\log(a^{2} + 8 a + 16)\)

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

\({}^{2}\!\log(8) + {}^{4}\!\log(p - 5)\)

\({}^{2}\!\log(8) + {}^{4}\!\log(p - 5)\)
\(\text{ } = {}^{2}\!\log(2^{3}) + {}^{4}\!\log(p - 5)\)
\(\text{ } = 3 + {}^{4}\!\log(p - 5)\)

1p

\(\text{ } = {}^{4}\!\log(4^{3}) + {}^{4}\!\log(p - 5)\)
\(\text{ } = {}^{4}\!\log(64) + {}^{4}\!\log(p - 5)\)

1p

\(\text{ } = {}^{4}\!\log(64 ⋅ (p - 5))\)
\(\text{ } = {}^{4}\!\log(64 p - 320)\)

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

\(3 ⋅ {}^{4}\!\log(x) + {}^{4}\!\log(2 x - 5)\)

\(3 ⋅ {}^{4}\!\log(x) + {}^{4}\!\log(2 x - 5)\)
\(\text{ } = {}^{4}\!\log(x^{3}) + {}^{4}\!\log(2 x - 5)\)

1p

\(\text{ } = {}^{4}\!\log(x^{3} ⋅ (2 x - 5))\)
\(\text{ } = {}^{4}\!\log(2 x^{4} - 5 x^{3})\)

1p

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