Matematika

Pertanyaan

berapa nilai x?
[tex] {2}^{3x - 6} = 8[/tex]
[tex] {9}^{x + 2} = {27}^{x - 4} [/tex]
[tex] \sqrt{ {27}^{2x - 3} } = 9[/tex]

1 Jawaban

  • jawab

    1)
    2^(3x-6)= (2)^3
    3x -6 =  3
    3x = 9
    x= 3


    2)
    (3)^(x+2) = (3^3)^(x- 4)

    x + 2 = 3(x - 4)
    x + 2 = 3x - 12
    -2x = -14
    x= - 7

    3)
    (3^3)^1/2(2x-3) = (3)(2

    3 (1/2 )(2x - 3) = 2
    3/2 ( 2x - 3) = 2 ....kalikan 2
    3(2x - 3)= 4
    6x - 9  =  4
    6x = 13
    x = 13/6

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