jika di ketahui 3log 5=m dan 7log 5=n,. ,maka 35log15= .....?
Matematika
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Pertanyaan
jika di ketahui 3log 5=m dan 7log 5=n,. ,maka 35log15= .....?
2 Jawaban
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2. Jawaban Khay14
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)
