Задание 597

$$\left( \dfrac14 \right)^{4x+5}=\dfrac1{64}$$

$$\left( \dfrac14 \right)^{4x+5}=\left( \dfrac14 \right)^3$$

$$4x+5=3$$

$$4x=3-5$$

$$4x=-2$$

$$x=-\dfrac24=-\dfrac12=-0,5$$