Matematika

Pertanyaan

Tentukan himpunan persamaan logaritma ³log(x-4) + ³log(x+4)=2

1 Jawaban

  • ³log(x - 4) + ³log(x + 4) = 2
    ³log(x - 4) + ³log(x + 4) = ³log3²
    ³log(x - 4)(x + 4) = ³log9
    (x - 4)(x + 4) =9
    x² - 16= 9
    x² - 16 - 9 = 0
    x² - 25 = 0
    (x + 5)(x - 5) = 0

    x + 5 = 0
    x = -5

    x - 5 = 0
    x = 5

    HP = {-5, 5}

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