Matematika

Pertanyaan

tolong jawabkan pake cara ya! 1) Nilai x yang memenuhi persamaan 2 log x - log y=1 dan persamaan log x + log y =8.

2 Jawaban

  • eliminasi
    2.log x - log y = 1
    log x + log y = 8
    -------------------------- +
    3.log x = 9
    log x = 9/3
    log x = 3
    x = 10³
    x = 1.000
  • 2log x - log y = 1
    log x²/y = log 10
    x²/y = 10 ---> 10y = x²

    log x + log y = 8
    log xy = log 10^8
    xy = 10^8
    10yx = 10 . 10^8
    x² . x = 10^9
    x³ = (10³)³
    x = 10³

    10y = x²
    10y = 10^6
    y = 10^5

    (x,y) = (10^3 , 10^5)

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