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Ecuatie exponentiala simpla
Posted: Thu Feb 21, 2008 10:29 am
by Razvan Balan
Rezolvati ecuatia \( 9^x+36^x=4\cdot 24^x-2\cdot 32^x. \)
Posted: Tue Feb 26, 2008 10:59 am
by Razvan Balan
\( $$\frac{9^x+36^x+32^x+32^x}{4}=24^x \geq \sqrt[4]{(9 \cdot 36 \cdot 32 \cdot 32)^x}=\sqrt[4]{(3^4 \cdot 2^{12})^x} = 24^x $$ \) de unde \( $9^x=36^x=32^x$ \) de unde \( $x=0$ \)