what are the steps to stove this?? 1/2log (base 5)=2log (base 5)5

1/2 log₅ x=2log₅ 5 log₅√x=log₅5²            ( n*log_a  b=log_a b^n)      (a^(1/2)=√a) Then: √x=5² √x=25 (√x)²=25² x=625 Answer: x=625