Matematika

Pertanyaan

tolong dijawab gan pake cara.... nomor 4
tolong dijawab gan pake cara.... nomor 4

1 Jawaban

  • 3logx + 3log(2x - 3) < 3
    3logx(2x - 3) < 3log3^3
    3log(2x^2 - 3x) < 3log27
    2x^2 - 3x < 27
    2x^2 - 3x - 27 < 0
    (2x - 9)(x + 3) < 0
    x = 9/2 atau x = -3
    Garis bilangan :
    ++++ (-3) ---- (9/2) ++++ => ambil daerah yang negatif
    Syarat :
    1) x > 0
    2) 2x - 3 > 0 => 2x > 3 => x > 3/2
    Irisan himpunan penyelesaian
    ............. (-3) xxxxxxxxxxxxxx (9/2) ...............
    1) ....................... (0) xxxxxxxxxxxxxxxxxxxx
    2) ................................. (3/2) xxxxxxxxxxxxx
    Irisan : 3/2 < x < 9/2