2" alt="(2 ^{x}-1)(2 ^{x} -6) ^{-1} >2" align="absmiddle" class="latex-formula">
0" alt=" \frac{2 ^{x}-1}{2 ^{x}-6 } -2>0" align="absmiddle" class="latex-formula">
0\Rightarrow
" alt=" \frac{2^{x}-1-2\cdot 2 ^{x} +12 }{2 ^{x} -6}>0\Rightarrow
" align="absmiddle" class="latex-formula">
0} \atop {2 ^{x}-6>0}} \right. } \atop { \left \{ {{11-2 ^{x} <0} \atop {2 ^{x} -6<0}} \right. }} \right. " alt=" \left \ [ {{ \left \{ {{11-2^{x} >0} \atop {2 ^{x}-6>0}} \right. } \atop { \left \{ {{11-2 ^{x} <0} \atop {2 ^{x} -6<0}} \right. }} \right. " align="absmiddle" class="latex-formula">
6}} \right. } \atop { \left \{ {{2 ^{x}>11 } \atop {2^x<6} }} \right. }} \right. " alt=" \left \ [ {{ \left \{ {{2 ^{x}<11} \atop {2 ^{x} >6}} \right. } \atop { \left \{ {{2 ^{x}>11 } \atop {2^x<6} }} \right. }} \right. " align="absmiddle" class="latex-formula">
Решением первой системы
является промежуток
Вторая система не имеет решений.
Ответ.