![image](https://tex.z-dn.net/?f=+%28%5Cfrac%7B1%7D%7B5%7D+%29%5E%7B3x-7%7D%5C+%5Ctextgreater+%5C+0%2C04%5C%5C%5C%5C%285%5E%7B-1%7D%29%5E%7B3x-7%7D%5C+%5Ctextgreater+%5C+5%5E%7B-2%7D%5C%3B+%5C%3B+%5C%3B+%280%2C04%3D%5Cfrac%7B4%7D%7B100%7D%3D%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B1%7D%7B5%5E2%7D%3D5%5E%7B-2%7D%29%5C%5C%5C%5C-3x%2B7%3E-2%5C%5C%5C%5C3x%3C+9%5C%5C%5C%5Cx%3C3%5C%5C%5C%5Cx%5Cin+%28-%5Cinfty+%3B%5C%3B+3%29)
-2\\\\3x< 9\\\\x<3\\\\x\in (-\infty ;\; 3)" alt=" (\frac{1}{5} )^{3x-7}\ \textgreater \ 0,04\\\\(5^{-1})^{3x-7}\ \textgreater \ 5^{-2}\; \; \; (0,04=\frac{4}{100}=\frac{1}{25}=\frac{1}{5^2}=5^{-2})\\\\-3x+7>-2\\\\3x< 9\\\\x<3\\\\x\in (-\infty ;\; 3)" align="absmiddle" class="latex-formula">