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 June 4th, 2016, 02:07 AM #1 Senior Member   Joined: Jul 2011 Posts: 405 Thanks: 16 exponential inequality If $\displaystyle 5^x+\left(2\sqrt{3}\right)2^x\geq 13^x\;,$ Then $\displaystyle x$ lies in the interval
 June 4th, 2016, 03:10 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 There is no simple "algebraic" way to get an exact solution. By graphing, x must be less than about 0.96. Thanks from panky Last edited by Country Boy; June 4th, 2016 at 03:13 AM.
 June 4th, 2016, 03:25 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,927 Thanks: 2205 x $\small\leqslant$ 0.94239... Thanks from panky

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