Big problem, small solution

Algebra Level 4

\(\log _{ 2}{ (1+\sqrt{x})}=\log_{3}{x}\)

\({ (\frac { 1+a^{ 2 } }{ 2a } ) }^{ y }-{( \frac { 1-a^{ 2 } }{ 2a } )}^{ y }=1,\) \(0<a\le1\)

\(\frac { x }{ y } =?\)

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