Question

Resolvendo a equação exponencial 2x+1=4x-1 obtemos

Answer 1

$2^{x+1} = 4^{x-1}\to\\\\ \not2^{x+1} = \not2^{2(x-1)}\to\\\\ x+1=2(x-1)\to\\\\ x+1 = 2x-2\to\\\\ x-2x=-2-1\to\\\\ -x=-3~.(-1)\to\\\\ \large\boxed{x=3}$


$Conferindo:\\\\ 2^{3+1} = 4^{3-1}\to~~~~2^4 = 4^2\to~~~~ \underline{~16=16~}$