Question

Sa se rezolve in multimea numerelor naturale inecuatia :
$2^{x!}$ <= 2048

Answer 1

$2^{x!} \leq 2048 \Rightarrow 2^{x!} \leq 2^{11} \\ \\ \boxed{x! \geq 1 \Rightarrow 2^{x!} strict crescatoare } \\ \\ \Rightarrow x! \leq 11 \\ \\ S = \Big\{1,2,3\Big\}$