algebra 2 problem

Question

2^4x+1=4 could someone simplify this with the exact answer

Answer 1

Rewrite the equation in the form 2^4x+1 = 2^2.

 

Since the bases are the same, the exponents must also be equal.

 

So, 4x+1 = 2

 

            4x = 1

 

              x = 1/4