²logx+²log(x-1)=1 Gimana caranya?

Bab Logaritma
Matematika SMA Kelas X

²log x + ²log (x - 1) = 1
²log (x . (x - 1)) = 1
x² - x = 2¹
x² - x = 2
x² - x - 2 = 0
(x - 2) (x + 1) = 0
x - 2 = 0
x = 2

x + 1 = 0
x = -1

syarat
x - 1 > 0
x > 1

maka, x = 2

misal x =>> 1

2 log 1 + 2 long ( 1 - 1 )
1 - 0 =>> 1

jadi x =>> 1