Concurs "Gheorghe Lazar" 2008, problema 4
Posted: Sat Mar 22, 2008 11:23 pm
Sa se rezolve in \( \mathbb{R}* \) ecuatia:
\( 2^{3x-1} \cdot 3^{\frac {3} {x} -1}+3^{3x-1} \cdot 5^{\frac{3} {x}-1}+5^{3x-1} \cdot 2^{\frac{3} {x}-1}=2^8+3^8+5^8 \)
\( 2^{3x-1} \cdot 3^{\frac {3} {x} -1}+3^{3x-1} \cdot 5^{\frac{3} {x}-1}+5^{3x-1} \cdot 2^{\frac{3} {x}-1}=2^8+3^8+5^8 \)