Trouble LOGging In

Algebra Level pending

Bryan has a Brilliant account. One morning, he wanted to open it. When he pressed the 'Log In' button, a message appeared. It says, "To access your account, solve for y: ( log 5 x ) ( log x 5 x ) ( log 5 x y ) = log x x 4 (\log _{ 5 }{ x } )(\log _{ x }{ 5x } )(\log _{ 5x }{ y } )=\log _{ x }{ { x }^{ 4 } } ."

Help Bryan open his account.


The answer is 625.

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