Matematika

Pertanyaan

Ada yg bisa bantu? Thanks
Ada yg bisa bantu? Thanks

2 Jawaban

  • Bab Logaritma
    Matematika SMA Kelas X

    log (64 (2^(x² - 40x))^(1/24)) = 0
    64 (2^(x² - 40x)/24) = 1
    2^((x² - 40x)/24) = 1/64
    2^((x² - 40x)/24) = 2^-6
    (x² - 40x)/24 = - 6
    x² - 40x = 24 . (-6)
    x² - 40x + 144 = 0
    a = 1; b = -40; c = 144

    hasil kali akar-akar = c/a
    hasil kali akar-akar = 144/1
    hasil kali akar-akar = 144

    jawabannya A

  • log (64 . 2^(x^2 - 40x)/24) = 0
    log (2^6 . 2^(x^2 - 40x)/24) = log 1
    2^(6 + (x^2 - 40x)/24) = 1
    2^(144 + x^2 - 40x)/24 = 2^0
    (x^2 - 40x + 144)/24 = 0
    x^2 - 40x + 144 = 0
    (x - 36)(x - 4) = 0
    x = 36 atau x = 4
    Hasil kali = 36 . 4 = 144

    ATAU

    x1.x2 = c/a = 144/1 = 144