Matematika

Pertanyaan

jawab semua.... no.1-6
jawab semua....                              no.1-6

1 Jawaban

  • no. 1
    (² log x)² - (² log x) - 2 = 0
    ² log x = a

    a² - a - 2 = 0
    (a - 2)(a + 1) = 0
    a = 2    a = -1

    pembuktian
    ² log x = 2
           x = 2²
           x = 4

    ² log x = -1
           x = 2^-1
           x = 1/2

    Hp { 1/2 ; 4}

    no. 6
    [tex] ^{x + 3} log (x + 2) = ^{x + 3} log (3x - 2)[/tex]
    x + 2 = 3x - 2
    -3x + x = -2 - 2
    -2x = -4
       x = 2

    pembuktian

    x + 3 = 2 + 3 = 5 (masuk syarat logaritma)
    x + 2 = 2 + 2 = 4 (masuk syarat log)
    3x - 2 = 3(2) - 2 = 6 - 2 = 4 (masuk syarat log)
    jadi Hp {2}