0,}} \right. \\ \left \{ {{x\geq-3,} \atop {x>-2,}} \right. \\ x>-2, x\in(-2;+\infty), \\ \sqrt{x+3}=0, \\ x+3=0, \\ x_1=-3<-2, \\ log_2(x+2)=0, \\ x+2=2^0, \\ x_2=-1, \\ x=-1" alt="\sqrt{x+3}\cdot log_2(x+2)=0, \\ \left \{ {{x+3\geq0,} \atop {x+2>0,}} \right. \\ \left \{ {{x\geq-3,} \atop {x>-2,}} \right. \\ x>-2, x\in(-2;+\infty), \\ \sqrt{x+3}=0, \\ x+3=0, \\ x_1=-3<-2, \\ log_2(x+2)=0, \\ x+2=2^0, \\ x_2=-1, \\ x=-1" align="absmiddle" class="latex-formula">