Matematika

Pertanyaan

Diketahui: ²log3=p. ³log5=q. Ditanya: 1.) ³log16. 2.) ⁴log10

1 Jawaban

  • 2'log 3 = p
    Log 3/log 2 = p
    P log 2 = log 3
    Log 2 = 1/p log 3

    3'log 5 = q
    Log 5/log 3 = q
    Log 5 = q log 3

    1) 3'log 16 =
    = log 16/log 3
    = log 2⁴/log 3
    = 4 log 2/log 3
    = (4 . 1/p log 3)/log 3
    = 4/p

    2) 4'log 10 =
    = Log 10/log 4
    = (Log 2 + log 5)/(log 2²)
    = (Log 2 + log 5)/(2 log 2)
    = (1/p log 3 + q log 3)/(2 . 1/p log 3)
    = (1/p + q)/(2/p)
    = (1+pq)/2

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