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June 4th, 2016, 02:07 AM   #1
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exponential inequality

If $\displaystyle 5^x+\left(2\sqrt{3}\right)2^x\geq 13^x\;,$ Then $\displaystyle x$ lies in the interval
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June 4th, 2016, 03:10 AM   #2
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There is no simple "algebraic" way to get an exact solution. By graphing, x must be less than about 0.96.
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Last edited by Country Boy; June 4th, 2016 at 03:13 AM.
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June 4th, 2016, 03:25 AM   #3
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x $\small\leqslant$ 0.94239...
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