# Prove that the solution of the recurrence T(n) = T(n/2) +6(logk n) with T(1-6(1), for any integer...

###### Question:

Prove that the solution of the recurrence T(n) = T(n/2) +6(logk n) with T(1-6(1), for any integer k 2 0, is T(n) = Θ(logk+1 n) (Hint: the upper bound T(n) = O(logk+1 n) is easy; the lower bound T(n) = Ω(logk +1 n) is harder.)

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