Question: A recursive method was implemented to handle the operation x n . Each recursive call breaks down the problem into a smaller size given the

A recursive method was implemented to handle the operation xⁿ. Each recursive call breaks down the problem into a smaller size given the math property:

xⁿ= (X^n/2)²

The algorithm for this recursive method has the following recurrence relation:

t(n) = 1 + t(n/2)

Prove through induction that this algorithm has O(log(n)).

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