Tentukan HP dari setiap persamaan berikut a.2log x+ 2log (x-2)=3 b.log (x-2)+log (x-1)=log 6 c.log (2x-1)-log (x-3)=log 7

²logx + ²log(x-2) = 3
²log(x(x-2)) = ²log2³
⇔ x(x-2) = 2³
⇔ x² - 2x - 8 = 0
⇔ (x + 2)(x - 4) = 0
⇔ x = -2  atau  x = 4
HP : {-2, 4}


log (x-2)+log (x-1)=log 6
log((x-2)(x-1)) = log6
⇔ (x-2)(x-1) = 6
⇔ x² - 3x +2 - 6 = 0
⇔ x² - 3x - 4 = 0
⇔ (x + 1)(x - 4) = 0
⇔ x = -1   atau   x = 4
HP : {-1, 4}



log (2x-1)-log (x-3)=log 7
log((2x-1)/(x-3)) = 7
⇔ (2x-1)/(x-3) = 7
⇔ 2x - 1 = 7x - 21
⇔ 5x - 20 = 0
⇔ 5x = 20
⇔ x = 4

HP : {4}