jika f(x) = (²log2(x))²-(²logx)²/²log6x tentukan f (3)
Matematika
normastock
Pertanyaan
jika f(x) = (²log2(x))²-(²logx)²/²log6x tentukan f (3)
1 Jawaban
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1. Jawaban SadonoSukirno
f(x) = (²log 2(x))² - (²log x)² / ²log 6x
= (²log 2x - ²log x)(²log 2x + ²log x) / ²log 6x
= (²log 2x/x)(²log 2x.x) / ²log 6x
= (²log 2)(²log 2x²) ²log 6x
= ²log 2x² / ²log 6x
f(3) = ²log 2(3)² / ²log 6(3)
= ²log 18 / ²log 18
= 1