Tập nghiệm của bất phương trình $({2^{{x^2} - 4}} - 1).\ln {x^2} < 0$ là:

Điều kiện: \(x \ne 0\).

\(\begin{array}{l}({2^{{x^2} - 4}} - 1) \ln{x^2} < 0 \Rightarrow \left[ \begin{array}{l}\left\{ \begin{array}{l}({2^{{x^2} - 4}} - 1) > 0\\ \ln{x^2} < 0\end{array} \right.\\\left\{ \begin{array}{l}({2^{{x^2} - 4}} - 1) < 0\\ \ln{x^2} > 0\end{array} \right.\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}\left\{ \begin{array}{l}{2^{{x^2} - 4}} > 1\\{x^2} < 1\end{array} \right.\\\left\{ \begin{array}{l}{2^{{x^2} - 4}} < 1\\{x^2} > 1\end{array} \right.\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}\left\{ \begin{array}{l}{x^2} - 4 > 0\\{x^2} < 1\end{array} \right.\\\left\{ \begin{array}{l}{x^2} - 4 < 0\\{x^2} > 1\end{array} \right.\end{array} \right.\\ \Leftrightarrow \left[ \begin{array}{l}\left\{ \begin{array}{l}x > 2;x <  - 2\\ - 1 < x < 1\end{array} \right.\\\left\{ \begin{array}{l} - 2 < x < 2\\x > 1;x <  - 1\end{array} \right.\end{array} \right. \Leftrightarrow \left[ \begin{array}{l} - 2 < x <  - 1\\1 < x < 2\end{array} \right. \Rightarrow x \in \left( { - 2; - 1} \right) \cup \left( {1;2} \right)\end{array}\)