![image](https://tex.z-dn.net/?f=log_2%282-5x%29%3Dlog_2%281-5x%29%2B1%5C%5C%5C%5C%5Cleft+%5C%7B+%7B%7B2-5x%3E0%7D+%5Catop+%7B1-5x%3E0%7D%7D+%5Cright.%5C%5C%5C%5C%5Cleft+%5C%7B+%7B%7Bx%3C0%2C4%7D+%5Catop+%7Bx%3C0%2C2%7D%7D+%5Cright.%5C%5Cx%3C0%2C2%5C%5C%5C%5Clog_2%282-5x%29%3Dlog_2%281-5x%29%2Blog_22%5C%5Clog_2%282-5x%29%3Dlog_2%282%2A%281-5x%29%29%5C%5C2-5x%3D2-10x%5C%5C10x-5x%3D0%5C%5C5x%3D0%5C%5Cx%3D0%3C0%2C2%5C%5C%5C%5Cx%3D0)
0} \atop {1-5x>0}} \right.\\\\\left \{ {{x<0,4} \atop {x<0,2}} \right.\\x<0,2\\\\log_2(2-5x)=log_2(1-5x)+log_22\\log_2(2-5x)=log_2(2*(1-5x))\\2-5x=2-10x\\10x-5x=0\\5x=0\\x=0<0,2\\\\x=0" alt="log_2(2-5x)=log_2(1-5x)+1\\\\\left \{ {{2-5x>0} \atop {1-5x>0}} \right.\\\\\left \{ {{x<0,4} \atop {x<0,2}} \right.\\x<0,2\\\\log_2(2-5x)=log_2(1-5x)+log_22\\log_2(2-5x)=log_2(2*(1-5x))\\2-5x=2-10x\\10x-5x=0\\5x=0\\x=0<0,2\\\\x=0" align="absmiddle" class="latex-formula">