Matematika

Pertanyaan

jika 7 log 3 = a dan 3 log 2 = b, nilai 48 log 84 =

1 Jawaban

  • jawab
    Logaritma
    7'log 3 = a
    3'log 2 = b

    7'log3 . 3'log 2 = a.b
    7'log 2 = ab

    (48)'log 84 = 7'log 84/7'log 48
    = (7'log 7.2². 3) / (7'log 2⁴. 3)

    = (7'log 7 + 2. 7'log 2 + 7'log 3) / (4. 7'log 2 + 7'log 3)
    = (1 + 2ab + a) / (4 ab  + a)

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