Iterated function applied on $n/ \log_2 n$

Asked May 07 '13 at 14:26

Active May 08 '13 at 05:19

Viewed 55 times

Given a function $f(n) = n/\log_2 n$ I have to iteratively apply the function towards its arguments.

I want get the min iteration times that let the result $\le$ 2

that is $$f^{(i)}(n) \le 2, \min (i) = ?$$

edited May 08 '13 at 05:19

asked May 07 '13 at 14:26

Jiajun

Is the $\log$ to base $2$? – Aryabhata May 07 '13 at 18:49
Oh sorry! It's used in computer science, so I omit base 2. How about $\log_2$? – Jiajun May 08 '13 at 05:14
Don't know. Seems difficult. LambertW making an appearance. – Aryabhata May 09 '13 at 01:11

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