2log (x-1) -2log (x-3) =3

²log(x-1) - ²log(x-3) = 3
²log (x-1)(x-3) = ²log(8)
x² - 4x + 3 = 8
x² - 4x - 5 = 0
(x-5)(x+1) = 0
x = 5 atau x = -1

bilangan di dalam log harus POSITIF
(x-1) > 0 , uji x=-1
-1 -1 > 0 GAGAL
jadi x=-1 bukan solusi

(x-1) > 0 , uji x=5
5-1 > 0
4 > 0 ✔️

(x-3) > 0, uji x=5
5-3 > 0
2 > 0 ✔️

jadi solusinya hanya x = 5 ✔️

semoga jelas dan membantu