Matematika

Pertanyaan

3^x . 3^2 + 9^x . 9 = 810

2 Jawaban

  • 3^x . 3^2 + 9^x . 9 = 810
    bagi 9
    3^x + 9^x = 90
    3^x + 3^2x - 90 = 0
    (3^x + 10)(3^x - 9) = 0

    3^x - 9 = 0
    3^x = 9
    x = 2

    Nilai x yg memenuhi : x = 2
  • 3^x . 3² + 9^x . 9 = 810

    ☞ 3^x . 9 + (3²)^x . 9 = 810
    ☞ 3^x . 9 + (3^x)² . 9 = 810
    Gunakan permisalan, misalkan 3^x = s

    ☞ s . 9 + s² . 9 = 810
    Maka s = 9 dan s = -10

    Sehingga
    ☞ 3^x = 9 ☞ x = 2
    ☞ 3^x = -10

    HP = {2}

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