Matematika

Pertanyaan

Diketahui sistem persamaan
2logx + 2logy^3 = 13
2logx - 2logy = 5
Nilai x + y = ?

1 Jawaban

  • Misal 2logx = p dan 2logy = q
    2logx + 2logy^3 = 13 => 2logx + 3. 2logy = 13 => p + 3q = 13
    2logx - 2logy = 5 =========================> p - q = 5
    ------------------------------------------------------------------------------------ --
    ................................................................................................ 4q = 8 => q = 2
    p - q = 5 => p - 2 = 5 => p = 7

    p = 7 => 2logx = 2log2^7 => x = 2^7 = 128
    q = 2 => 2logy = 2log2^2 => y = 2^2 = 4
    x + y = 128 + 4 = 132

Pertanyaan Lainnya