6^2x+1=(sgrt6)^-4x+3

[latex]6^{2x+1}= \sqrt{6} ^{-4x+3}[/latex] [latex]6^{2x+1}= 6 ^{ \frac{1}{2} (-4x+3)}[/latex] [latex]2x+1=-2x+1.5[/latex] [latex]4x=0.5[/latex] [latex]x=0.125[/latex]