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Pertanyaan

9^m + 9^m+1 = 20, maka 27^m = ?

1 Jawaban

  • 9^m + 9^(m + 1) = 20
    9^m + 9^m . 9^1 = 20
    Misal 9^m = a => a = 3^(2m) = (3^m)^2
    a + a . 9 = 20
    10a = 20
    a = 2
    (3^m)^2 = 2
    3^m = √2

    27^m = 3^3m = (3^m)^3 = √2 . √2 . √2 = 2√2

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