nilai x yang memenuhi persamaan log(x2-1)-log(x-1)=1+log(x-8) adalah
Matematika
sira6
Pertanyaan
nilai x yang memenuhi persamaan log(x2-1)-log(x-1)=1+log(x-8) adalah
1 Jawaban
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1. Jawaban Anonyme
log(x²-1) - log(x-1) = 1+log(x-8)
log(x²-1)/(x-1) = 1+log (x-8)
log (x+1)(x-1)/(x-1) = 1+log (x-8)
log (x+1) - log(x-8) = 1
log (x+1)/(x-8) = log 10
(x+1)/(x-8) = 10
x+1 = 10x - 80
1+80 = 10x-x
81 = 9x
x = 9