³log²×-³logײ=³log27
Matematika
adi1170
Pertanyaan
³log²×-³logײ=³log27
1 Jawaban
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1. Jawaban ahbabcsckert
[tex]^{3} log ^{2} (x) - ^{3} log( {x}^{2} ) = ^{3} log(27) \\ ( ^{3} log(x) )^{2} - ( ^{3} log(x) + ^{3} log(x) ) = 3 \\ misal \: ^{3} log(x) = y \\ {y}^{2} - (y + y) = 3 \\ {y}^{2} - 2y - 3 = 0 \\ (y - 3)(y + 1) = 0 \\ y = 3 = ^{3} log(x) \\ y = - 1 = ^{3} log(x) \\ jadi \: x = {3}^{3} = 27 \: atau \: x = {3}^{ - 1} = \frac{1}{3} [/tex]
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