5^2x=3

If I remember correctly, you would log both sides of the equation to and move the 2x to the front. so it would be 2xLOG5=3. Does that work? If not sorry.

I thought you would do guess and check
but i have no idea

do you understand what i did?

2 x log 5 = LOG 3

what is X???

use your calculator and solve for it