![image](https://tex.z-dn.net/?f=%5Clog_%7B0%2C5%7D+%5Cfrac%7Bx%7D%7B3%7D+%5Cgeq+-2%2C+%5C%5C+%C2%A0%5Cleft+%5C%7B+%7B%7B%5Cfrac%7Bx%7D%7B3%7D%3E0%2C%7D+%5Catop+%7B%5Cfrac%7Bx%7D%7B3%7D%5Cleq+0%2C5%5E%7B-2%7D%3B%7D%7D+%5Cright.+%C2%A0%5Cleft+%5C%7B+%7Bx%3E0%2C%7D+%5Catop+%7Bx%5Cleq+12%3B%7D%7D+%5Cright.+%5C%5C+0%3Cx+%5Cleq+12%3B+%5C%5C+%C2%A0x%5Cin%280%3B12%5D%2C)
0,} \atop {\frac{x}{3}\leq 0,5^{-2};}} \right. \left \{ {x>0,} \atop {x\leq 12;}} \right. \\ 00,} \atop {\frac{x}{3}\leq 0,5^{-2};}} \right. \left \{ {x>0,} \atop {x\leq 12;}} \right. \\ 0
![image](https://tex.z-dn.net/?f=%5Clog_%7B0%2C6%7D+%282x-1%29%3C%5Clog_%7B0%2C6%7Dx%2C+%5C%5C++%5Cleft+%5C%7B+%7B%7B2x-1%3E0%2C%7D+%5Catop+%7Bx%3E0%3B%7D%7D+%5Cright.++%5Cleft+%5C%7B+%7B%7Bx%3E0%2C5%2C%7D+%5Catop+%7Bx%3E0%3B%7D%7D+%5Cright.+x%3E0%2C5%3B+%5C%5C+%0A2x-1%3Ex%2C+%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%3E0%2C5%2C%7D+%5Catop+%7Bx%3E1%3B%7D%7D+%5Cright.+x%3E1%3B+%5C%5C+x%5Cin%281%3B%2B%5Cinfty%29.)
0,} \atop {x>0;}} \right. \left \{ {{x>0,5,} \atop {x>0;}} \right. x>0,5; \\
2x-1>x, \\ \left \{ {{x>0,5,} \atop {x>1;}} \right. x>1; \\ x\in(1;+\infty)." alt="\log_{0,6} (2x-1)<\log_{0,6}x, \\ \left \{ {{2x-1>0,} \atop {x>0;}} \right. \left \{ {{x>0,5,} \atop {x>0;}} \right. x>0,5; \\
2x-1>x, \\ \left \{ {{x>0,5,} \atop {x>1;}} \right. x>1; \\ x\in(1;+\infty)." align="absmiddle" class="latex-formula">