Matematika

Pertanyaan

himpunan penyelesaian 3log(x²-1)-3log(5x+5)=0adalah..

2 Jawaban

  • 3log(x²-1) - 3log(5x+5) = 0
    3log([tex] \frac{x^2-1}{5x+5} [/tex]) = 0
    3^0 = [tex] \frac{x^2-1}{5x+5} [/tex]
    1 = [tex] \frac{x^2-1}{5x+5} [/tex]
    5x + 5 = x² - 1
    0 = x² - 5x - 6
    0 = (x - 6)(x + 1)

    x = 6
    atau
    x = -1
  • LogAritMa

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

    HP = {6}

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