Matematika

Pertanyaan

jika 2log 3 = x dan 3log 7 = y , maka 21log 54 =

1 Jawaban

  • 2log 3 = log 3 / log 2 = x
    3log 7 = log 7 / log 3 = y
    21log 54 = log 54 / log 21
    = log (27.2) //log (3.7)
    = (log 27 + log 2) / (log 3 + log 7)
    = (log 3^3+ log 2) / (log 3 + log 7)
    = (3.log 3+log 2) / (log 3 + log 7). ganti bilangan pokok logariitma 3, maka
    = (3.3log 3 + 3log 2) / (3log 3 + 3log 7)
    = (3 + 1/x)/(1+ y)
    = (3x +1)/x (1 + y)
    = (3x + 1)/(x + xy)

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