Question

Log(x^2 - 1) - log(x - 1) = 1 + log(x -8)

Answer 1

Sederhanakan dahulu masing masing ruas,
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Karena sudah dalam bentuk logaritma, maka:
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=> x + 1 = 10(x - 8)
=> x + 1 = 10x - 80
=> 9x = 81, maka x = 9

Answer 2

Log(x^2 - 1) - log(x - 1) = 1 + log(x -8)
log((x^2 - 1)/(x - 1)) = log(10) + log(x -8)
log(x + 1) = log(10(x -8))
x +1 = 10(x - 8)
x + 1 = 10x - 80
-9x = -81
x = 9