Matematika

Pertanyaan

0,25^log(x-4) + 16^log(x+2) = 0

1 Jawaban

  • Logaritma

    0,25'log (x - 4) + 16'log (x + 2) = 0
    (4^-1)'log (x - 4) + (4²)'log (x + 2) = 0
    4'log (x - 4)^-1 + 4'log √(x + 2) = 0
    4'log (√(x + 2) /(x - 4)) = 4'log 1
    √(x + 2) = x - 4
    x + 2 = (x - 4)²
    x + 2 = x² - 8x + 16
    x² - 9x + 14 = 0
    (x - 2)(x - 7) = 0
    x = 2 atau x = 7

    nilai x yg memenuhi :
    x = 7

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