Question

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

Answer 1

Verified answer

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