Matematika

Pertanyaan

tolong jawab secepatnya, thx
tolong jawab secepatnya, thx

1 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Eksponen dan Logaritma

    Pembahasan :
    20.

    x'log (2x - 3) - x'Log (x + 6) + x'log (x + 2) = 1
    x'log [(2x - 3) : (x + 6) . (x + 2)] = 1
    x'log [(2x - 3)/(x + 6) . (x + 2)] = 1
    x'log [(2x - 3)(x + 2)/(x + 6)] = x'log x
    (2x - 3)(x + 2)/(x + 6) = x
    (2x - 3)(x + 2) = x² + 6x
    2x² + x - 6 = x² + 6x
    x² - 5x + 6 = 0
    (x - 3)(x - 2) = 0
    x = 2
    x = 3

    ———————————————
    21.

    9^[³log (2x - 1)] = 25
    3^(³log (2x - 1)²] = 25
    (2x - 1)² = 25
    2x - 1 = ± 5

    2x - 1 = 5
    2x = 6
    x = 3

    2x - 1 = -5
    2x = -4
    x = -2

    Hp : {-2 , 3}

    Jawaban : D