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

Home > Just Math
Two and only two (Posted on 2015-11-03) Difficulty: 2 of 5

For what value(s) of n does the equality sin(x) = logn(x) have exactly two solutions?

See The Solution Submitted by broll    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): a quick look Comment 4 of 4 |
(In reply to re: a quick look by Charlie)

I got as close as I could by trial and error, within the accuracy of my calculator (the last digit may be wrong):

n=7.82283794408, x=7.7915486, difference=2E-13

There may be better ways to get a close approximation but either way I doubt there's a closed form for the value of n.



  Posted by Jer on 2015-11-04 07:42:01
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 (2)
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