34. $$5^{3-2x} = \frac{1}{125}$$

$$5^{3-2x} = \frac{1}{125}$$ $$5^{3-2x} = \frac{1}{5^3}$$ $$5^{3-2x} = 5^{-3}$$ $$3-2x = -3$$ $$-2x = -6$$ $$x = 3$$ Ответ: $$\boxed{x=3}$$