Matematika

Pertanyaan

³log² x -9 3log x-10=0

2 Jawaban

  • ³log² x -9 ³logx-10=0

    (³logx - 10) (³logx + 1) = 0

    ³logx = 10 ~ x=3^(10)=59049

    ³logx = -1 ~ x = 3^(-1) = 1/3
  • Misal 3 log x = p, maka

    p²-9p-10 = 0
    (p-10)(p+1)=0
    p₁ = 10
    p₂ = -1

    (1)
    p₁=3log x
    10=3log x
    x = 3¹⁰ = 59049

    (2)
    p₂ = 3logx
    -1= 3logx
    x = 3⁻¹ = 1/3

    HP = {1/3,59049)

    maaf kalo salah :)

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