math - Big O Log problem solving -

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I have a question that reads from an algorithm book that I am reading and how I am stumped on how to solve it (This has been a long time since I have logged in or exponent math). The problem is as follows:

Assume that we are comparing the implementation of the entry sort and sorting on the same machine. For the input of size N, the merge sort runs in 8n ^ 2 steps, while the merge sort runs in 64n log n phase. What is the entry type sort merge merge for the N key?

The basis of the log is 2. I have started trying to solve for equality, but n = 8 are stuck around log n.

I have to answer to discuss how to solve a mathematical way.

Thank you in advance!

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