O ecuatie exponentiala de forma f(x)=f(1/x) admite solutie
Posted: Mon Nov 05, 2007 12:49 am
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
Marius Cavachi, R.M.I. C-ta, 2005