1/2 log (2x^ - x - 2)= log (x+2)nilai x adalah

Bab Logaritma
Matematika SMA Kelas XI

(1/2) . log (2x² - x - 2) = log (x + 2)
log √(2x² - x - 2) = log (x + 2)
2x² - x - 2 = x² + 4x + 4
x² - 5x - 6 = 0
(x - 6) (x + 1) = 0
x = 6 atau x = - 1

syarat
2x² - x - 2 = 0
rumus abc
x12 = (1 +- √17)/4
misal, √17 = 4

x1 > (1 - 4)/4
x1 > -3/4

jadi, x = 6