Xlog(x+6) + xlog(x—1) = 2+xlog 2

jawab

ˣlog (x+6)+ ˣlog (x-1) = ˣlog x² + ˣlog 2
ˣlog(x+6)(x-1) = ˣlog(x²)(2)

(1) 
(x+6)(x-1) = 2x²
x² + 5x - 6 = 2x²
x² - 5x + 6 =  0
(x - 3)(x - 2)= 0
x = 3  atau x = 2

(2)
syarat logaritma
x+6 > 0  n x-1> 0  n x > 0
x > -6  n  x> 1 n  x > 0
x > 1

hp x = (2 ,3 )