Verified answer

3x + log(4) y = y + log(4) x

2x + log(4) x = y/4 + log(4) y

одз x > 0 y>0

Складываем

3x + log(4) y  + 2x + log(4) x = y + log(4) x + y/4 + log(4) y

5x = 5/4 y

y = 4x

подставляем в первое уравнение

3x + log(4) 4x = 4x + log(4) x

log(4) 4x - log(4) x = 4x - 3x

log(4) 4x/x = x

x = 1

y = 4

ответ (1, 4)