November 10th, 2017, 05:23 AM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 227 Thanks: 26  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 07:27 AM. 
November 10th, 2017, 07:28 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,059 Thanks: 1619 
It seems somewhat obvious that $n$ = 1.

November 10th, 2017, 08:45 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,619 Thanks: 845 
Rearrange: 11^(n1) = n Still obvious that n=1, as Skip says... 

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