All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
An equation (
Posted on 20140703
)
The equation x
^{x}
y
^{y}
=z
^{z}
has trivial integer solutions if x=1 or y=1. What is the smallest solution to x
^{x}
y
^{y}
=z
^{z}
where x, y, and z are integers and 1<x≤y?
No Solution Yet
Submitted by
Math Man
No Rating
Comments: (
Back to comment list
 You must be logged in to post comments.
)
re(2): solution
Comment 5 of 5 
(In reply to
re: solution
by broll)
Yes, I mistakenly used '+' when I should have used '*'.
Instead, (az)^a * (bz)^b = z
and a^a * b^b * z^(a+b1) = 1
requiring a=b=1 and z=1.
Posted by
xdog
on 20140714 10:33:23
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:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2018 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information