Question

2^2x+1=4^2x-1 hint answer is 3/2

Answer 1

2^{2x+1}=2^{2(2x-1}

2^{2x+1}=2^{4x-2}

if the bases are same, then powers are equal

2x+1=4x-2

1+2=4x-2x

3=2x

x=3/2


I am sure that it will help you

Answer 2

(2)^2x+1 = (4)^2x-1
(2)^2x+1 = (2)^4x-2
2x+1 = 4x-2
2x-4x = -2-1
-2x = -3
2x = 3
x = 3/2

Ans.