Помогите полжалуйста решить lg(x-1)>0 log2(x+3)>1 log2(2-x)<2<br> log3(2x+1)<2<br>
Lg(x-1)>0 ⇒ 0} \atop {x-1>1}} \right. " alt=" \left \{ {{x-1>0} \atop {x-1>1}} \right. " align="absmiddle" class="latex-formula">⇒1} \atop {x>2}} \right. " alt=" \left \{ {{x>1} \atop {x>2}} \right. " align="absmiddle" class="latex-formula">⇒x>2 log2(x+3)>1⇒0} \atop {x+3>2}} \right. " alt=" \left \{ {{x+3>0} \atop {x+3>2}} \right. " align="absmiddle" class="latex-formula">⇒-3} \atop {x>-1}} \right. " alt=" \left \{ {{x>-3} \atop {x>-1}} \right. " align="absmiddle" class="latex-formula">⇒x>-1 log2(2-x)<2 ⇒<img src="https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2-x%3E0%7D+%5Catop+%7B2-x%3C4%7D%7D+%5Cright.+" id="TexFormula5" title=" \left \{ {{2-x>0} \atop {2-x<4}} \right. " alt=" \left \{ {{2-x>0} \atop {2-x<4}} \right. " align="absmiddle" class="latex-formula">⇒-2}} \right. " alt=" \left \{ {{x<2} \atop {x>-2}} \right. " align="absmiddle" class="latex-formula">⇒ -2 log3(2x+1)<2</span>⇒0} \atop {2x+1<9}} \right. " alt=" \left \{ {{2x+1>0} \atop {2x+1<9}} \right. " align="absmiddle" class="latex-formula">⇒-1/2} \atop {x<4}} \right. " alt=" \left \{ {{x>-1/2} \atop {x<4}} \right. " align="absmiddle" class="latex-formula">⇒ -1/2<x<4