Question

Himpunan penyelesaian pertidaksamaan ²log(x + 2) + ²log(x-5) < 3

Answer 1

^2log (x+2) + ^2log (x-5) < 3
^2log (x+2)(x-5) < ^2log 8
(x+2) (x-5) < 8
x^2 - 3x - 10 < 8
x^2 - 3x - 18 < 0
(x - 6) (x + 3) < 0
x < 6 atau x > -3

Hp = { x | -3 < x < 6, x ∈ R}