Matematika

Pertanyaan

8log 9 =a, 2log 5 =b, dan 7log 2 =c. Nilai 6lig 35 =.....

1 Jawaban

  • 2log 3= 3a/2
    2log 5=b 
    7log 2=c
    6log 35
    = 6log 5 + 6log 7
    =[1/(5log 6)] + [1/(7log 6)]
    =[1/5log 2 (2log 3+ 2log 2)] + [1/(7log 2 + 7log 3)]
    =[1/5log 2 (2log 3+ 1)] + [1/(7log 2 + (7log 2 x 2log 3)]
    ={b/[(3a/2)+1]}+{1/[c+3ac/2]}
    =(bc+1)/c(1+3a/2)

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