![image](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E%7B2x-3%7D%3E%3D%28%5Cfrac%7B16%7D%7B9%7D)
=(\frac{16}{9}" alt="(\frac{3}{4})^{2x-3}>=(\frac{16}{9}" align="absmiddle" class="latex-formula">
![image](https://tex.z-dn.net/?f=log_%5Cfrac%7B3%7D%7B4%7D%5Cfrac%7B16%7D%7B9%7D%3E%3D2x-3)
=2x-3" alt="log_\frac{3}{4}\frac{16}{9}>=2x-3" align="absmiddle" class="latex-formula">
![image](https://tex.z-dn.net/?f=-2%3E%3D2x-3)
=2x-3" alt="-2>=2x-3" align="absmiddle" class="latex-formula">
Ответ: (-∞;1/2]