Matematika

Pertanyaan

5log2x^2-5log(x+5)=1

1 Jawaban

  • 5 log 2x² - 5 log (x + 5) = 1
    5 log (2x²/(x + 5)) = 5 log 5

    Maka
    2x² / (x + 5) = 5
    2x² = 5 (x + 5)
    2x² = 5x + 25
    2x² - 5x - 25 = 0
    (2x + 5) (x - 5) = 0

    • 2x + 5 = 0
    2x = -5
    x = -5/2
    • x - 5 = 0
    x = 5

    Jadi, x = -5/2 dan x = 5

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