Matematika

Pertanyaan

jika diketahui 3log5 =m dan 7log5 =n maka 35log 15 sama denga n

2 Jawaban

  • 35log15 = 5log15 / 5log35
    = 5log(5.3) / 5log(5.7)
    = (5log5 + 5log3) / (5log5 + 5log7)
    = (1 + 1/m) / (1 + 1/n)
    = ((m+1)/m) / ((n+1)/n)
    = (n.(m+1)) / (m.(n+1))
  • 35'log 15 = 5'log 15 / 5'log 35
    = (5'log 3 + 5'log 5) / (5'log 7 + 5'log 5)
    = (1/m + 1) / (1/n + 1)
    = ((1+m)/m) / ((1+n)/n)
    = (n + nm) / (m + mn)

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