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[latex]1. (2) ^{x} \ \textless \ 16 \\ (2) ^{x} \ \textless \ 2 ^{4} \\ x\ \textless \ 4 \\ 2. (\frac{1}{7} ) ^{x} \ \textless \ \frac{1}{49} \\ (\frac{1}{7} ) ^{x} \ \textless \ (\frac{1}{7} ) ^{2} \\ x\ \textgreater \ 2 \\ 3. (\frac{11}{12} ) ^{3x} \geq ( \frac{144}{121} ) ^{2x-3} \\ (\frac{12}{11} ) ^{-3x} \geq ( \frac{12}{11} ) ^{2(2x-3)} \\ -3x \geq 4x-6 \\ x \leq \frac{6}{7} \\ 4. 3^{2x-4} \leq 27 ^{5x} \\ 3^{2x-4} \leq 3 ^{15x} \\ 2x-4 \leq 15x \\ -13x \leq 4 \\ x \geq \frac{-4}{13} \\ 5. (\frac{1}{7} ) ^{ x^{2} -8} \ \textless \ \frac{1}{7} \\ x^{2} -9\ \textgreater \ 0, \\ x\ \textless \ -3, x\ \textgreater \ 3[/latex]