![image](https://tex.z-dn.net/?f=%5Clg+0.2%5E%7B3x-1%7D-%5Clg+0.2%5E%7Bx%2B2%7D%3C%5Clg+0.04+%5C%5C+%5Clg++%5Cfrac%7B0.2%5E%7B3x-1%7D%7D%7B0.2%5E%7Bx%2B2%7D%7D+%3C+%5Clg+0.04+%5C%5C+%5Cfrac%7B0.2%5E%7B3x-1%7D%7D%7B0.2%5E%7Bx%2B2%7D%7D+%3C+0.04+%5C%5C+0.2%5E%7B3x-1-x-2%7D%3C0.2%5E2+%5C%5C+3x-1-x-2%3E2+%5C%5C+2x-3%3E2+%5C%5C+2x%3E5+%5C%5C+x%3E2.5)
2 \\ 2x-3>2 \\ 2x>5 \\ x>2.5" alt="\lg 0.2^{3x-1}-\lg 0.2^{x+2}<\lg 0.04 \\ \lg \frac{0.2^{3x-1}}{0.2^{x+2}} < \lg 0.04 \\ \frac{0.2^{3x-1}}{0.2^{x+2}} < 0.04 \\ 0.2^{3x-1-x-2}<0.2^2 \\ 3x-1-x-2>2 \\ 2x-3>2 \\ 2x>5 \\ x>2.5" align="absmiddle" class="latex-formula">
Ответ: