Question

if 36^2x=6 then solve the equation​

Answer 1

make the number all be 6

36 = 6^2

36^2x = 6^4x

6^4x = 6

4x=1

x=1/4

Answer 2

You can observe that $36=6^2$ so that you can write both sides as power of the same base (i.e. 6):

$36^{2x}=6 \iff (6^2)^{2x} = 6 \iff 6^{4x} = 6^1 \iff 4x=1 \iff x=\dfrac{1}{4}$