Matematika

Pertanyaan

Jika 125 log 9 = a
Maka 27 log 25 adalah ...
Pakai cara nya ya

2 Jawaban

  • 125 log 9 = a
    9 log 125 = 1/a

    9 log 125= 3^2 log 5^3
    = 3/2 3log5=a
    Sehingga jika 3log5= ax2/3

    Maka 27 log 25 =3^3log5^2
    =2/3 3log5
    Ganti 3log5 =ax2/3
    2/3xax2/3 =4/9 a
    Jadi jwaban 4/9 a
  • 125log9 = a
    (5^3)log(3^2) = a
    (2/3) 5log3 = a
    5log3 = a . 3/2
    5log3 = (3a)/2
    3log5 = 2/(3a)

    27log25 = (3^3)log(5^2)
    = (2/3) 3log5
    = (2/3) . 2/(3a)
    = 4/(9a)

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