Решите систему неравенств$\begin{cases} {{2^x} + 17 \cdot {2^{3-x}} \leqslant 25,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\dfrac{{{x^2}-3x-5}}{{x-4}} + \dfrac{{3{x^2}-15x + 2}}{{x-5}} \leqslant 4x + 1.} \end{cases}$
ПОЛУЧИТЬ ОТВЕТ Решите систему неравенств$\begin{cases} {\dfrac{{{2^{4x + 2}}}}{{{4^{x + 1}}}} > 1,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {1 + {{\log }_3}\left( {x-4} \right) \leqslant {{\log }_3}\left( {x + 21}\right).} \end{cases}$
Решите систему неравенств$\begin{cases} {{3^{x + 2}} + {9^{x + 1}}-810 > 0,\,\,\,\,\,\,\,} \\ {\log _3^2x + 4{{\log }_3}x + 3 \geqslant 0}. \end{cases}$
Решите систему неравенств $\begin{cases} {{{\log }_2}\dfrac{{3x-2}}{{x-1}} + 3{{\log }_8}\dfrac{{{{\left( {x-1} \right)}^3}}}{{3x-2}}\, < 1},\\ {\dfrac{{\sqrt {8-2x-{x^2}} }}{{2x + 9}} \geqslant \dfrac{{\sqrt {8-2x-{x^2}} }}{{x + 10}}.\,\,\,} \end{cases}$
Решите систему неравенств$\begin{cases}{\dfrac{{3 \cdot {{64}^x} + {2^x}-70}}{{{{64}^x}-2}} \geqslant 3,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\log _3^2\left( {x + 3} \right)-3{{\log }_3}\left( {x + 3} \right) + 2 \leqslant 0}. \end{cases}$
Решите систему неравенств $\begin{cases} {2 \cdot {3^{2x + 4}}-245 \cdot {3^x} + 3 \leqslant 0}, \\ {{{\log }_2}\left( {{x^2} + 4x + 5} \right) > 2.\,\,\,\,\,\,\,\,} \end{cases}$
Решите систему неравенств $\begin{cases} {\dfrac{{x-2\sqrt x -8}}{{{2^x}-4}} \geqslant 0,\,\,\,\,\,\,\,\,\,\,\,} \\ {\dfrac{{{{\log }_2}x-5}}{{1-2{{\log }_x}2}} \geqslant 2{{\log }_2}x}. \end{cases}$
Решите систему неравенств $\begin{cases} {{{\left( {\frac{1}{2}} \right)}^{{{\log }_{\frac{1}{9}}}\left( {2{x^2}-3x + 1} \right)}}\, < 1,\,\,\,\,\,\,\,\,\,} \\ {2 + \dfrac{{\log _2^2x}}{{1 + {{\log }_2}x}} > {{\log }_2}x}. \end{cases}$
