Matematika

Pertanyaan

²log(x²-3)-2logx=-1
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2 Jawaban

  • ²log(x²-3) - ²logx = -1
    ²log( x²-3 / x) = ²log2^-1
    x²-3 / x = 2^-1
    x² - 3 / x = ½
    2(x²-3)=x
    2x²-6=x
    2x²-x-6=0
    (2x+3)(x-2)
    2x+3=0
    x=-3/2
    x-2=0
    x=2

    jadi x=-3/2 atau x=2

    [tex][/tex]
  • ²log(x² - 3) - ²log x = -1
    ²log((x² - 3)/x) = ²log2⁻¹
    (x² - 3)/x = 1/2
    2(x² - 3) = x
    2x² - x - 6 = 0
    (2x + 3)(x - 2) = 0
    x = -3/2   x = 2

    x = -3/2 tidak memenuhi,
    jadi HP = {2}

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