Matematika

Pertanyaan

log (2x-3) + log (x- 3) = log 7

2 Jawaban

  • log (2x-3) + log (x-3) = log [(2x-3)(x-3)]
                                     = log (2x²-9x+9)

    log (2x²-9x+9) = log 7
            2x²-9x+9 = 7
            2x²-9x+2 = 0
     gunakan rumus abc, x = (-b ± √(b² - 4ac))/2a
  • LogAritMa

    log (2x - 3) + log (x - 3) = log 7
    (2x - 3)(x - 3) = 7
    2x² - 9x + 9 - 7 = 0
    2x² - 9x + 2 = 0
    a = 2
    b = -9
    c = 2

    rumus abc
    x1.2 = (-b ± √(b² - 4ac))/2a
    x1.2 = (9 ± √65)/4

    syarat numerus : > 0

    NiLai x yg memenuhi :
    x = (9 + √65)/4

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