Which function of $n$ has higher growth rate between $f(n)=(\log n)^{100}$ and $g(n)= n^{0.000001}$ as $n$ approaches infinity?

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I am really confused. I don't know how to start solving these questions. Generally I divide by $n$, then I solve the question. But in these case, neither am I able to apply L'Hôpital's rule nor can I divide by $n$. I need to find which of the two has higher growth rate. Can any relation between them be established?