Matematika

Pertanyaan

jika 2 log 3 = a dan 3 log 5 = b, maka 5 log 12/5 =

1 Jawaban

  • ²log 3 = a
    ³log 5 = b

    Sifat perkalian
    ²log 3 × ³log 5 = ²log 5 = ab.

    Maka:
    = ⁵log (12/5)
    = ⁵log 12 - ⁵log 5
    = ⁵log 2² + ⁵log 3 - ⁵log 5
    = 2 × 1/(²log 5) + 1/(³log 5) - 1
    = 2/a + 1/ab - 1

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