![image](https://tex.z-dn.net/?f=+4%5Ex%5Cgeq+3%5Ex+%5Cbigg%7C+%3A3%5Ex%3E0%5C%5C+%5Cbigg%28%5Cfrac%7B4%7D%7B3%7D%5Cbigg%29%5Ex%5Cgeq+1%5C%5C%5C%5Cy%3D%5Cbigg%28%5Cfrac%7B4%7D%7B3%7D%5Cbigg%29%5Ex+%5C%3B+%5C%3B+vozrastaet%2C+t.k.+%5C%3B+%5Cfrac%7B4%7D%7B3%7D+%3E1+%3D%3E+%5C%5C+znak+%5C%3B%5C%3B+ne%5C%3B%5C%3B+menyaetsya%3D%3E%5C%5C+%5Cbigg%28%5Cfrac%7B4%7D%7B3%7D%5Cbigg%29%5Ex%5Cgeq+%5Cfrac%7B4%7D%7B3%7D%5E0%5C%5C+x%5Cgeq0%5C%5C+x+%5Cin+%5B0%3B+%2B%5Cinfty%29%5C%5C)
0\\ \bigg(\frac{4}{3}\bigg)^x\geq 1\\\\y=\bigg(\frac{4}{3}\bigg)^x \; \; vozrastaet, t.k. \; \frac{4}{3} >1 => \\ znak \;\; ne\;\; menyaetsya=>\\ \bigg(\frac{4}{3}\bigg)^x\geq \frac{4}{3}^0\\ x\geq0\\ x \in [0; +\infty)\\" alt=" 4^x\geq 3^x \bigg| :3^x>0\\ \bigg(\frac{4}{3}\bigg)^x\geq 1\\\\y=\bigg(\frac{4}{3}\bigg)^x \; \; vozrastaet, t.k. \; \frac{4}{3} >1 => \\ znak \;\; ne\;\; menyaetsya=>\\ \bigg(\frac{4}{3}\bigg)^x\geq \frac{4}{3}^0\\ x\geq0\\ x \in [0; +\infty)\\" align="absmiddle" class="latex-formula">