Question

4^1-2x=2

Answer 1

4-2x=2
2=2x
x=1

Answer 2

I hope you mean: 4^(1-2x)=2 then 2^(2-4x)=2^1 so 2-4x=1 and the x=1/4

Answer 3

x = 1/4

Answer 4

Yes, 4^(1-2x)=2 is solved at x=1/4. Note that the parentheses are necessary in this case.