Given that

Question

2^x=k, express 2^2x+1 in terms of k.

Answer 1

we have 2^x = k

2^2x+1 = (2^2x)+1 = (2^x * 2^x)+1 = (k*k)+1 (this is because 2^x =k) = k^2+1

so 2^2x+1 = k^2+1