[m] (\frac{1}{2})^{x-3}\cdot (5 +(\frac{1}{2})^{x+1-(x-3)})=162[/m]
При делении [m] (\frac{1}{2})^{x+1}[/m] на [m] (\frac{1}{2})^{x-3}[/m] показатели вычитаются
[m] (\frac{1}{2})^{x-3}\cdot (5 +(\frac{1}{2})^{4})=162[/m]
[m] (\frac{1}{2})^{x-3}\cdot (5 +\frac{1}{16})=162[/m]
[m] (\frac{1}{2})^{x-3}\cdot \frac{81}{16}=162[/m]
[m] (\frac{1}{2})^{x-3}=32[/m]
[m] (\frac{1}{2})^{x-3}=(\frac{1}{2})^{-5}[/m]
[m] x-3=-5[/m]
[m]x=-2[/m]
О т в е т. -2