Question

Tolong bantu tugas logaritma
soal no 3

Answer 1

Verified answer

Bab Logaritma
Matematika SMA Kelas X

log (x² + 4x + 4) < log (5x + 10)
x² + 4x + 4 < 5x + 10
x² + 4x - 5x + 4 - 10 < 0
x² - x - 6 < 0
(x - 3) (x + 2) < 0
x + 2 > 0
x > -2
-2 < x

x - 2 < 0
x < 2

-2 < x < 2

syarat
5x + 10 > 0
5x > -10
x > -2

x² + 4x + 4 > 0
(x + 2)² > 0
x + 2 > 0
x > -2

x + 2 < 0
x < -2

HP = { x | -2 < x < 2, x € bilangan real }