Question

Jika ³log 4 = a, maka nilai dari ³log 32 - ³log 8 + ⅓log1/9 adalah?
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Answer 1

Verified answer

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Answer 2

Verified answer

Bab : Logaritma

Pembahasan:
³log4 = a
³log2² = a
2.³log2 = a
³log2 = a/2

Maka,,
³log32 - ³log8 + ^1/3log1/9
= ³log2⁵ - ³log2³ + ^3⁻¹log3⁻²
= 5.³log2 - 3.³log2 + 2.³log3
= 5(a/2) - 3(a/2) + 2(1)
= 5a/2 - 3a/2 + 2
= 2a/2 + 2
= a + 2

Nb:
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