Question: In my textbook: https://www.amazon.com/Algorithms-Sanjoy-Dasgupta/dp/0073523402 it says on page 8 that any polynomial dominates any logarithm: n dominates (log(n))^3 But I find this not to be

In my textbook:

https://www.amazon.com/Algorithms-Sanjoy-Dasgupta/dp/0073523402

it says on page 8 that "any polynomial dominates any logarithm: n dominates (log(n))^3" But I find this not to be true in all cases. Take for example (log(n))^7, it will dominate n. With n=10000 we have (log(n))^7 = 16384 Are these rules in the textbook not always true, just vague guidelines? Can you explain?

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