November 10th, 2017, 06:23 AM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 177 Thanks: 23  exponential equation
$\displaystyle 11^n =11n \; \; $ for $\displaystyle n\in N$ Use Number Theory theorems or approximations Post your method (just posting for curiosity); I'll post my idea too. Last edited by skipjack; November 10th, 2017 at 08:27 AM. 
November 10th, 2017, 08:28 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,155 Thanks: 1422 
It seems somewhat obvious that $n$ = 1.

November 10th, 2017, 09:45 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,907 Thanks: 716 
Rearrange: 11^(n1) = n Still obvious that n=1, as Skip says... 

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