Consider the recursive definition of $T(n)$ given as follows.

$T(1)=5$

$T(n)=4T({|}_{{?}_{?}}\frac{n}{4_{{?}_{?}}}|)+5n,n4$

Solve the recurrence equation by using Substitution Method. Take $O(nlgn)$ as your initial guess. Show all steps of your solution.