Matematika

Pertanyaan

3^2-x + 3^x-1 = 4 adalah ....

1 Jawaban

  • Misal :
    3^x = a

    3^(2-x) + 3^(x-1) = 4
    3²/a + a/3 = 4
    Kdua ruas kalikan 3a
    27 + a² = 12a
    a² - 12a + 27 = 0
    (a - 3)(a - 9) = 0
    a = 3 atau a = 9

    a = 3
    3^x = 3 ---> x = 1 ✔

    a = 9
    3^x = 9 ---> x = 2 ✔

    Nilai x yg memenuhi :
    x = 1 dan x = 2

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