Matematika

Pertanyaan

tolong nomor 5 dong!!
tolong nomor 5 dong!!

2 Jawaban

  • Bab Logaritma
    Matematika SMA Kelas X

    2 log x + log 6x - log 2x - log 27 = 0
    log (x² . 6x / (2x . 27)) = 0
    x²/9 = 10⁰
    x² = 9 . 1
    x² - 9 = 0
    (x + 3) (x - 3) = 0
    x + 3 = 0
    x = -3

    x - 3 = 0
    x = 3

    syarat
    2x > 0
    x > 0

    Maka, x = 3

    Jawabannya A
  • 2 log x + log6x - log2x - log27 = 0
    2 logx + log(3 . 2 . x) - log(2 . x) - log3³ = 0
    2 logx + log3 + log2 + logx - log2 - logx - 3 log3 = 0
    2 logx - 2 log3 = 0
    logx = log3
    log3 / logx = 1
    ˣlog3 = 1
    x = 3