Matematika

Pertanyaan

log(x-1)+log(x-3)=log(x-1)

1 Jawaban

  • Logaritma
    SMA Kelas X

    log(x - 1) + log(x - 3) = log(x - 1)
    log[(x - 1)(x - 3)] = log(x - 1)
    log(x² - 4x + 3) = log(x - 1)

    x² - 4x + 3 = x - 1
    x² - 4x - x + 3 + 1 = 0
    x² - 5x + 4 = 0
    (x - 4)(x - 1) = 0

    x - 4 = 0
    x = 4

    x - 1 = 0
    x = 1 (Tidak memenuhi)

    Penyelesaian : x = 4

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