O ecuatie exponentiala de forma f(x)=f(1/x) admite solutie

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Cezar Lupu
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O ecuatie exponentiala de forma f(x)=f(1/x) admite solutie

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Fie \( f: (0, \infty)-\{ 1 \} \to\mathbb{R} \), \( f(x)=2^{x+1}+3^{x+1}-6^{x} \). Sa se arate ca ecuatia \( f(x)=f\left(\frac{1}{x}\right) \) admite solutie.

Marius Cavachi, R.M.I. C-ta, 2005
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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