200001604
Level:
B
Let \( A= \left\{ x \in \mathbb{R}\colon \left(\frac{\sqrt{2}}2\right)^{5x} < 8 \cdot 4^{3-2x}\right\}\) and \( B=\{x \in \mathbb{R}\colon 2^x-4\cdot 2^{-x}>3\}\). Find \(A \cap B\).
\(A \cap B=(2;6)\)
\(A \cap B=(-\infty;-1)\cup(4;6)\)
\(A \cap B=(-\infty;-1)\cup(2;6)\)