Đáp án đúng: D
Giải chi tiết:\(\begin{array}{l}{3^{2n + 1}} = 27\\{3^{2n + 1}} = {3^3}\\2n + 1 = 3\\2n\,\,\,\,\,\,\,\,\,\, = 3 - 1\\2n\,\,\,\,\,\,\,\,\,\,\, = 2\\\,\,\,n\,\,\,\,\,\,\,\,\,\,\, = 2:2\\\,\,\,n\,\,\,\,\,\,\,\,\,\,\, = 1\end{array}\)
Chọn D.