Question

2 log (x+2)+2 log (x-2)kurang dari sama dengan 2 log 5 adalah...

mohon bantuannya...

Answer 1

Verified answer

Bab Logaritma
Matematika SMA Kelas X

²log (x + 2) + ²log (x - 2) <= ²log 5
²log ((x + 2) (x - 2)) <= 5
x² - 4 <= 5
x² - 4 - 5 <= 0
x² - 9 <= 0
(x + 3) (x - 3) <= 0
x + 3 >= 0
x >= -3
-3 <= x

x - 3 <= 0
x <= 3


syarat
x - 2 > 0
x > 2

2 < x <= 3