Matematika

Pertanyaan

3log2x - 3logx5 + 4 = 0
itu 3 log pangkat 2 x - 3log x pangkat 5 + 4 = 0

2 Jawaban

  • ³log²x - ³log x^5 + 4 = 0
    (³log x)² - 5 . ³log x + 4 = 0
    mis ³log x = a

    a² - 5a + 4 = 0
    (a - 4)(a - 1) = 0

    a = 4
    ³log x = 4
    x = 3⁴ = 81

    a = 1
    ³log x = 1
    x = 3¹ = 3

    Hp = { 3 , 81 }
  • ==Jawaban==

    ³log²x - ³logx⁵ + 4 = 0
    ³log²x - 5.³logx + 4 = 0

    Kita pakai permisalan yaa,,
    ³logx = p

    Jadi,,,,,
    p² - 5p + 4 = 0
    (p - 1)(p - 4) = 0

    Kemudian masukkan nilai "p" nya yaa,
    p - 1 = 0
    ³logx - 1 = 0
    ³logx = 1
    ³logx = ³log3¹ 
    x = 3¹
    x = 3

    p - 4 = 0
    ³logx - 4 = 0
    ³logx = 4
    ³logx = ³log3⁴
    x = 3⁴
    x = 81

    Hp = {3 dan 81}

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