# which rule can conduct this formula $\log n = O(n^{0.000001})$? [duplicate]

i am learning this post about Big O, which gives this formula

$$\log n = O(n^{0.000001})$$

why is that?

• check the definition of Big-O, seems that you don't know it ;) – Bulat May 16 '19 at 8:53
• With mathematics, it's usually best not to think in terms of "rules". Instead, try to understand the concepts. – David Richerby May 16 '19 at 8:53
• @Bulat Not necessarily. Even somebody who knows the definition might not know why $\log n = O(n^{0.000001})$. – David Richerby May 16 '19 at 8:54