All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
log the log (Posted on 2006-06-11) Difficulty: 3 of 5
Given that

2x = x(265520)

find log2(log2(x)).

See The Solution Submitted by Jer    
Rating: 3.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: Willing to bet | Comment 2 of 5 |
(In reply to Willing to bet by e.g.)

Indeed, by taking the base-2 log of each side we get

x = 2^65520 * log2(x)

and then doing the same again

log2(x) = 65520 + log2(log2(x))

If x=2^(2^16), then log2(x) = 2^16 = 65536 and log2(log2(x))  = 16, and the equation is satisfied, so

log2(log2(x))  = 16

Sweet.


  Posted by Charlie on 2006-06-11 11:36:08
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information