Matematika

Pertanyaan

jika di ketahui 3log 5=m dan 7log 5=n,. ,maka 35log15= .....?

2 Jawaban

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    D's Legacy
    Gambar lampiran jawaban Dnd7
  • 3'log 5 = m ---> 5'log 3 = 1/m
    7'log 5 = n ---> 5'log 7 = 1/n


    35'log 15
    = 5'log 15 / 5'log 35
    = 5'log (3 × 5) / 5'log (5 × 7)
    = (5'log 3 + 5'log 5)/(5'log 5 + 5'log 7)
    = (1/m + 1)/(1 + 1/n)
    = ((1 + m)/m)/((n + 1)/n)
    = (1 + m)n / (n + 1)m
    = (n + nm)/(m + nm)

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