Matematika

Pertanyaan

tolong bantuin donggg :"
tolong bantuin donggg :

1 Jawaban

  • [2log(2x - 3)]/[2logx] - xlog(x + 6) + 1/((x + 2)logx) = 1
    => xlog(2x - 3) - xlog(x + 6) + xlog(x + 2) = xlogx
    => xlog(2x - 3) + xlog(x + 2) = xlog(x + 6) + xlogx
    => xlog(2x - 3)(x + 2) = xlog(x + 6)x
    => (2x - 3)(x + 2) = x(x + 6)
    => 2x^2 + 4x - 3x - 6 = x^2 + 6x
    => x^2 - 5x - 6 = 0
    => (x - 6)(x + 1) = 0
    => x = 6 atau x = -1

    Syarat logaritma : (x + 2)logx => x > 0

    Maka x yang memenuhi => x = 6