Question

Resolva a equação exponencial;

​

Answer 1

Explicação passo-a-passo:

$0,2={2\over10}={1\over5}=5^{-1}\\ \\ \sqrt{125} =\sqrt{5^3} =5^{3\over2}\\ \\ logo\\ \\ (5^{-1})^{x+1}=5^{3\over2}\\ \\ 5^{-x-1}=5^{3\over2}\\ \\ cancela~~a~~base~~2\\ \\ -x-1={3\over2}\\ \\ mmc=2\\ \\ -2x-2=3\\ \\ -2x=3+2\\ \\ -2x=5~~~~ \times(-1)\\ \\ 2x=-5\\ \\ x=-{5\over2}=-2,5$