Simplify 25^{\frac{1}{2} - \log_5(\sqrt{5})}.
25^(1/2) - log 5 sqrt (5) =
sqrt (25) - log 5 5^(1/2) =
5 - (1/2) log 5 5 { log 5 5 = 1 }
5 - (1/2)(1) =
5 - 1/2 =
9/2