Matematika

Pertanyaan

Tolong bantu tugas logaritma
soal no 3
Tolong bantu tugas logaritma soal no 3

1 Jawaban

  • 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 }