Matematika

Pertanyaan

Jika 2log3=a dan 3log5=b, maka 15log20 adalah...

1 Jawaban

  • ²log 3 = a
    ³log 5 = b
    ²log5 = ²log3 . ³log5 = a.b

    ¹⁵log20
    = ²log20 / ²log15
    = (²log(2²x5)) / (²log(3x5))
    = (2.²log2 + ²log5) / (²log3 + ²log5)
    = (2.1 + a.b) / (a + a.b)
    = (2 + ab) / (a + ab)

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