Matematika

Pertanyaan

jika *5 log 2 = a
*2 log 3 = b

*6 log50 = ..... ???

1 Jawaban

  • ^5log 2 = a ---> ²log 5 = 1/a
    ²log 3 =b

    ^6log 50
    =²log 50 / ²log 6
    =²log 2×25 / ²log 2×3
    =(²log 2 + ²log 25) / (²log 2 + ²log 3)
    =(²log 2 + ²log 5²) / (²log 2 + ²log 3)
    =(²log 2 + 2 ²log 5) / (²log 2 + ²log 3)
    =(1+2/a)/(1+b)
    =(a/a+2/a)/(1+b)
    =[(a+2)/a]/(1+b)
    =(a+2)/(a+ab)

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