0} \atop {x>0}} \right. \; \left \{ {{x>-1} \atop {xx>0}} \right. \; \to \; x>0\\\\log_2(x+1)=log_22+log_2x\\\\log_2(x+1)=log_2(2x)\\\\x+1=2x\\\\x=1 -\; otvet" alt="log_2(x+1)=1+log_2x,\; \; \; OOF:\; \; \left \{ {{x+1>0} \atop {x>0}} \right. \; \left \{ {{x>-1} \atop {xx>0}} \right. \; \to \; x>0\\\\log_2(x+1)=log_22+log_2x\\\\log_2(x+1)=log_2(2x)\\\\x+1=2x\\\\x=1 -\; otvet" align="absmiddle" class="latex-formula">