👤

2 ^2007 supra 4^1004 = x supra 0.5
Aflati valoarea lui x


Răspuns :

[tex]\frac{2^{2007}}{4^{1004}}=\frac{x}{0,5} \\ \frac{2^{2007}}{(2^{2})^{1004}}=2x \\ \frac{2^{2007}}{2^{1004*2}}=2x \\ \frac{2^{2007}}{2^{2008}}=2x \\ 2^{2007-2008}=2x \\ 2^{-1}=2x \\ \frac{1}{2^{1}}=2x \\ \frac{1}{2}=2x \\ 0,5=2x \\ x=0,5:2 \\ x=0,25[/tex]