Question

ajuda cm essa equação???? 0,25^2x+3 = 4^x-1

Answer 1

$0,25^{2x+3}=4^{x-1}\\ \\ (\frac{1}{4})^{2x+3}=4^{x-1}\\ \\ (4^{-1})^{2x+3}=4^{x-1}\\ \\ 4^{-2x-3}=4^{x-1}\\ \\ -2x-3=x-1\\ \\ -2x-x=-1+3\\ \\ -3x=-2\\ \\ \boxed{x=\frac{2}{3}}$