Matematika

Pertanyaan

yg no 13& 14 bagaimana caranya
yg no 13& 14 bagaimana caranya

1 Jawaban

  • 13)
    f(x) = 4^(x) + 3.2^(x+2) = 64
    f(x) = (2^2)^(x) + 3.2^(x+2) - 64 = 0
    f(x) = 2^(2x) + 3.2^(x+2) - 64 = 0
    f(x) = 2^(2x) + 3.2^(2).2^(x) - 64 = 0
    f(x) = 2^(2x) + 3.4.2^(x) - 64 = 0
    f(x) = 2^(2x) + 12.2^(x) - 64 = 0

    Misal : a = 2^(x)

    a^2 + 12a - 64 = 0
    (a + 16)(a - 4) = 0
    a + 16 = 0 atau a - 4 = 0
    a = -16 atau a = 4

    a = 2^(x)
    a = -16
    2^(x) = -2^4
    (Tidak memenuhi)

    a = 2^(x)
    a = 4
    2^(x) = 4
    2^(x) = 2^2
    x = 2

    HP = { 2 } (c)

    14)
    2^(2x+5) = 2^(3x+1)

    2x + 5 = 3x + 1
    2x - 3x = 1 - 5
    -x = -4
    x = -4/-1
    x = 4

    HPnya = { 4 } (e)