Hasil dari 3 log x/(x-2) ≥ 3 log ⁡5 adalah ...

Kelas 10 Matematika
Bab Nilai Mutlak

^ = pangkat

^3log (x/(x - 2)) >= ^3log 5
x/(x - 2) >= 5
x/(x - 2) - 5 >= 0
(x - 5(x - 2))/(x - 2) >= 0
(x - 5x + 10)/(x - 2) >= 0
(-4x + 10) (x - 2) >= 0
(4x - 10) (x - 2) <= 0
x - 2 >= 0
x >= 2
2 <= x

4x - 10 <= 0
4x <= 10
x <= 10/4
x <= 5/2

2 <= x <= 5/2

Syarat
x > 0

x - 2 > 0
x > 2

Maka
2 < x <= 5/2