2log(x²+3x+2)=2log(8x-2)

Bab Logaritma
Matematika SMA Kelas X

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

x - 1 = 0
x = 1

syarat
8x - 2 > 0
8x > 2
x > 1/4

x² + 3x + 2 > 0
(x + 2) (x + 1) > 0
x + 1 > 0
x > - 1

x + 2 < 0
x < - 2

Penyelesaian = { 1, 4 }