Matematika

Pertanyaan

1/2log(*²-3)-1/2logx=-1

1 Jawaban

  • LogAritMa

    (1/2)'log (x² - 3) - (1/2)'log x = -1

    (1/2)'log ((x² - 3)/x) = -1

    (x² - 3)/x = (1/2)^-1

    (x² - 3)/x = 2

    kali silang

    x² - 3 = 2x

    x² - 2x - 3 = 0

    (x - 3)(x + 1) = 0

    x = 3 ; x = -1

    Syarat numerus : > 0
    x > 0
    x² - 3 > 0 ---> x² > 3

    NiLai x yg memenuhi :
    x = 3

    # dimana (1/2) adalah basis log

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