Respuesta :

First let X = 4^x, then we have:-
2X^2 - 3X + 1 = 0

(2X - 1)(X - 1) = 0

X = 0.5 , 1

So 4^x = 1  which makes x = 0 

and 4^x = 0.5   gives  x ln4 = ln0.5 so x = ln0.5 / ln 4 =  -0.5

Solution set is (-0.5,0)