log(x²+2x+1»log 4x+9

LogAritMa

log (x² + 2x + 1) ≥ log (4x + 9)
x² + 2x + 1 ≥ 4x + 9
x² + 2x - 4x + 1 - 9 ≥ 0
x² - 2x - 8 ≥ 0
(x + 2)(x - 4) ≥ 0
x ≤ -2 atau x > 4 ... (1)

syarat numerus : > 0
x² + 2x + 1 > 0
(x + 1)² > 0
x ≠ -1 , x e R ... (2)

4x + 9 > 0
x > -9/4 ... (3)

NiLai x yg memenuhi :
x > 4