Matematika

Pertanyaan

Mohon bantuannya temen2, tmakasih :)
Mohon bantuannya temen2, tmakasih :)

1 Jawaban

  • ingat log a/log b = ᵇlog a
    log a + log b = log a.b
    log a - log b = log a/b

    ²log x (2x-3)/²log x - ˣlog (x+6) + ˣ⁺²logx = 1
    ˣlog (2x-3) - ˣlog (x+6) + log (x+2)/log x = 1
    ˣlog (2x-3) - ˣlog (x+6) + ˣlog (x+2) = ˣlog x
    ˣlog (2x-3)(x+2)/(x+6) = ˣlog x
    (2x-3)(x+2)/(x+6) = x
    (2x-3)(x+2) = x(x+6)
    2x² + x - 6 = x² + 6x
    x² - 5x - 6 = 0
    (x+1)(x-6) = 0

    x₁ = -1
    x₂ = 6