Question: Suppose that the function f satisfies the recurrence relation f(n) = 2f( n) + log n whenever n is a perfect square greater than 1

Suppose that the function f satisfies the recurrence relation f(n) = 2f( n) + log n whenever n is a perfect square greater than 1 and f(2) = 1.

Find a big-Oh estimate for f(n)

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