If $x$ is a real number such that $2^{2x+3}=14$, find $2^x$.
2 ^ ( 2x + 3) = 14
2^3 * 2^(2x) = 14
8 * 2^(2x) = 14
2^(2x) = 14/8
2^(2x) = 7/4
(2^x)^2 = 7/4 take the sq rt of both sides
2^x = sqrt ( 7 ) / 2