Question

Como se resolve essa equação exponencial?
4^x + 4^x+1 = 20?

Answer 1

$4^x+4^{x+1}=20\\\\ 4^x+4^1.4^x=20\\\\ 1.4^x+4.4^x=20\\\\ 5.4^x=20\\\\ 4^x=\frac{20}{5}\\\\ 4^x=4\\\\ 4^x=4^1\\\\ x=1$