Đáp án đúng: C
Giải chi tiết:\(\begin{array}{l}\,\,\,\,\,\,{2^{x + 1}}{.2^{2x}} - 24 = 1000\\\,\,\,\,\,\,{2^{x + 1 + 2x}} - 24\,\,\,\, = 1000\\\,\,\,\,\,\,{2^{3x + 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1000 + 24\\\,\,\,\,\,{2^{3x + 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1024\\\,\,\,\,\,{2^{3x + 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {2^{10}}\\\,\,\,\,\,3x + 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\\\,\,\,\,\,3x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10 - 1\\\,\,\,\,\,3x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9\\\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9:3\\\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 3\end{array}\)
Chọn C.
