Matematika

Pertanyaan

tolong dibantu kak buat hari ini soalnya
tolong dibantu kak buat hari ini soalnya

1 Jawaban

  • Nomor 6.
    ½^(2+x) = 16^(1-x)
    2^(-1(2+x)) = 2⁴^(1-x)
    2^(-2-x) = 2^(4-4x)
    -2-x = 4-4x
    -x+4x = 4+2
    3x = 6
    x = 6/3 = 2

    Nomor 7.
    (3√27^(x-3)) = (4√(3^x))
    (3√3³^(x-3)) = 3^x^¼
    3^(3/3)^(x-3) = 3^(x/4)
    x-3 = x/4
    4(x-3) = x
    4x - 12 = x
    4x - x = 12
    3x = 12
    x = 12/3 = 4

    Nomor 8.
    2^(3x-1) = 32
    2^(3x-1) = 2^5
    3x-1 = 5
    3x = 5+1
    3x = 6
    x = 6/3 = 2


    Nomor 9.
    4 ^ (x² - 3x - 4) = 2 ^ (x² - 2x - 4)
    2 ^ 2(x² - 3x - 4) = 2 ^ (x² - 2x - 4)
    2x² - 6x - 8 = x² - 2x - 4
    2x² - x² - 6x + 2x - 8 + 4 = x² - 4x - 4
    x² - 4x - 4 = 0
    ( x - 2 ) ( x - 2 )
    Salah soal !!

    Nomor 10.
    7 ^ ( 2x - 6 ) = 3 ^ ( 2x - 6 )
    7 ^ 0 = 3 ^ 0
    2x - 6 = 0
    2x = 6
    x = 6/2 = 3

    Nomor 11.
    2 ^ ( 2x - 1 ) = 7 ^ ( x + 2 )

    2 ^ ( 2x - 1 ) = y
    ² log y = 2x - 1
    (2x-1) ylog2 = 1

    7 ^ ( x + 2 ) = y
    7logy = x + 2
    (x+2) ylog7 = 1