Question 378098
{{{ 2(4)^(3x)=8x/16}}}
{{{ 2(4)^(3x)=x/2}}}
 {{{(4)^(3x)=x/4}}}
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{{{drawing(300,300,-2,5,-2,5,grid(1),graph(300,300,-2,5,-2,5,0,4^(3x),x/4))}}}
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Here is a graph that shows the left hand side (green) and the right hand side (blue). 
They do not intersect so there is no solution.