Example 10. Solve the inequality

$$
3^{2 x-1}<11^{3-x}
$$
Solution. Both sides of the inequality are positive for any value of $x$. Taking the logarithm of both sides of the inequality to the base 3, we obtain the inequality

$$
2 x-10$, we find all solutions of the original inequality - the interval

$$
-\infty<x<\frac{1+3 \log _{3} 11}{2+\log _{3} 11}
$$