![image](https://tex.z-dn.net/?f=log_%7B2%7D%283-x%29%3D0%5C%5C%5C%5C+%5Cleft+%5C%7B+%7B%7B3-x%3D2%5E0%7D+%5Catop+%7B3-x%3E0%7D%7D+%5Cright.%5C%5C%5C%5C+%5Cleft+%5C%7B+%7B%7B3-x%3D1%7D+%5Catop+%7Bx%3C3%7D%7D+%5Cright.%5C%5C%5C%5C+%5Cleft+%5C%7B+%7B%7Bx%3D2%7D+%5Catop+%7Bx%3C3%7D%7D+%5Cright.++%5C%5C%5C%5Cx%3D2+)
0}} \right.\\\\ \left \{ {{3-x=1} \atop {x<3}} \right.\\\\ \left \{ {{x=2} \atop {x<3}} \right. \\\\x=2 " alt="log_{2}(3-x)=0\\\\ \left \{ {{3-x=2^0} \atop {3-x>0}} \right.\\\\ \left \{ {{3-x=1} \atop {x<3}} \right.\\\\ \left \{ {{x=2} \atop {x<3}} \right. \\\\x=2 " align="absmiddle" class="latex-formula">