Giải các bất phương trình :
$\begin{array}{l}
1)\,\,\,\,{\log _x}125x.\log _{25}^2x < 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,\,\,{\log _4}{\log _2}x + {\log _2}{\log _4}x > 1\,\,\,\,\,\,\,\,\,\,\,(2)
\end{array}$
|
Đăng bài 26-04-12 11:17 AM
|
|
|
Giải bất phương trình :
$\,\,\,\,\,\,\,\,\,\,\,\,\,{\log _{\frac{3}{2}}}\left[ {{{\log }_{\frac{1}{3}}}\left( {\frac{{{x^2}}}{2} + {2^{{{\log }_2}x - 1}}} \right) + 3} \right] \le 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
|
Giải các bất phương trình :
$\begin{array}{l}
1)\,\,\,\,\,\,{\left( {{2^x} + {{3.2}^{ - x}}} \right)^{2{{\log }_2}x - {{\log }_2}\left( {x + 6} \right)}} > 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,\,\,\,\,\,{\left( {{{4.3}^x} + {3^{ - x}}} \right)^{3{{\log }_3}\left( {x - 1} \right) - {{\log }_3}\left( {x - 1} \right)\left( {2x + 1} \right)}} > 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)
\end{array}$
|
|
|
|
|
Giải các bất phương trình :
$\begin{array}{l}
1)\,\,\,\log _2^2\left( {2 + x - {x^2}} \right) + 3{\log _{\frac{1}{2}}}\left( {2 + x - {x^2}} \right) + 2 \le 0\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,\,{\log _{x + 1}}{\left( {{x^2} + x - 6} \right)^2} \ge 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)\\
3)\,\,\,{\log _{9{x^2}}}\left( {6 + 2x - {x^2}} \right) \le \frac{1}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(3)\\
4)\,\,\,{9^{\sqrt {{x^2} - 3} }} + 3 <28. {3^{\sqrt {{x^2} - 3} - 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(4)
\end{array}$
|
|
|
Giải các bất phương trình :
$\begin{array}{l}
1)\,\,\,\,\,{\log _x}\frac{{2x + \frac{2}{5}}}{{5\left( {1 - x} \right)}} > 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\\
2)\,\,\,{\log _x}\frac{{4x + 1}}{{6\left( {x - 1} \right)}} < 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)
\end{array}$
|
|
|
|
|
Giải bất phương trình :
${\log _{2x}}64 + {\log _{{x^2}}}16 \ge 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)$
|
Giải bất phương trình :
${\log _x}\left( {x - \frac{1}{4}} \right) \ge 2\,\,\,\,\,\,\,\,\,\,\,\,(1) $
|
|
|