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