Herleid tot één logaritme.
1p
\({}^{5}\!\log(3) + {}^{5}\!\log(x - 4)\)
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\({}^{5}\!\log(3) + {}^{5}\!\log(x - 4)\)
\(\text{ } = {}^{5}\!\log(3 ⋅ (x - 4))\)
\(\text{ } = {}^{5}\!\log(3 x - 12)\)
1p
Herleid tot één logaritme.
1p
\({}^{2}\!\log(5) - {}^{2}\!\log(x - 4)\)
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\({}^{2}\!\log(5) - {}^{2}\!\log(x - 4)\)
\(\text{ } = {}^{2}\!\log({5 \over x - 4})\)
1p
Herleid tot één logaritme.
2p
\(2 + {}^{4}\!\log(3 p + 1)\)
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\(2 + {}^{4}\!\log(3 p + 1)\)
\(\text{ } = {}^{4}\!\log(4^{2}) + {}^{4}\!\log(3 p + 1)\)
\(\text{ } = {}^{4}\!\log(16) + {}^{4}\!\log(3 p + 1)\)
1p
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\(\text{ } = {}^{4}\!\log(16 ⋅ (3 p + 1))\)
\(\text{ } = {}^{4}\!\log(48 p + 16)\)
1p
Herleid tot één logaritme.
2p
\(4 ⋅ {}^{2}\!\log(3 a)\)
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\(4 ⋅ {}^{2}\!\log(3 a)\)
\(\text{ } = {}^{2}\!\log((3 a)^{4})\)
1p
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\(\text{ } = {}^{2}\!\log(81 a^{4})\)
1p
Herleid tot één logaritme.
3p
\({}^{5}\!\log(125) + {}^{4}\!\log(x - 2)\)
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\({}^{5}\!\log(125) + {}^{4}\!\log(x - 2)\)
\(\text{ } = {}^{5}\!\log(5^{3}) + {}^{4}\!\log(x - 2)\)
\(\text{ } = 3 + {}^{4}\!\log(x - 2)\)
1p
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\(\text{ } = {}^{4}\!\log(4^{3}) + {}^{4}\!\log(x - 2)\)
\(\text{ } = {}^{4}\!\log(64) + {}^{4}\!\log(x - 2)\)
1p
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\(\text{ } = {}^{4}\!\log(64 ⋅ (x - 2))\)
\(\text{ } = {}^{4}\!\log(64 x - 128)\)
1p
Herleid tot één logaritme.
2p
\(4 ⋅ {}^{3}\!\log(x) + {}^{3}\!\log(5 x - 1)\)
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\(4 ⋅ {}^{3}\!\log(x) + {}^{3}\!\log(5 x - 1)\)
\(\text{ } = {}^{3}\!\log(x^{4}) + {}^{3}\!\log(5 x - 1)\)
1p
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\(\text{ } = {}^{3}\!\log(x^{4} ⋅ (5 x - 1))\)
\(\text{ } = {}^{3}\!\log(5 x^{5} - x^{4})\)
1p