[m]0,04=\frac{4}{100}=\frac{1}{25}=(\frac{1}{5})^2[/m]
Уравнение принимает вид:
([m]\frac{1}{5})^{x+3}=\frac{1}{5}\cdot ((\frac{1}{5})^{2})^{x}[/m]
[m](\frac{1}{5})^{x+3}=\frac{1}{5}\cdot (\frac{1}{5})^{2\cdot x}[/m]
[m](\frac{1}{5})^{x+3}=(\frac{1}{5})^{1+2\cdot x}[/m]
[m]x+3=1+2\cdot x[/m]
[m]x-2x=1-3[/m]
[m]-x=-2[/m]
[m]x=2[/m]
О т в е т. [m]2[/m]