make the number all be 6
36 = 6^2
36^2x = 6^4x
6^4x = 6
4x=1
x=1/4
You can observe that [tex]36=6^2[/tex] so that you can write both sides as power of the same base (i.e. 6):
[tex]36^{2x}=6 \iff (6^2)^{2x} = 6 \iff 6^{4x} = 6^1 \iff 4x=1 \iff x=\dfrac{1}{4}[/tex]
