Răspuns:
1/3
Explicație pas cu pas:
2log₅(3x+y) = log₅(3x) + log₅(4y) ; x,y > 0 <=>
log₅(3x+y)² = log₅(3x·4y) <=>
9x²+6xy+y² = 12xy =>
9x²-6xy+y² = 0 =>
(3x-y)² = 0 =>
y = 3x =>
x/y = x/3x = 1/3
