1, \\ x_2\in\emptyset" alt="4^{\sin x}+2^{5-2\sin x}=18, \\ 4^{\sin x}+\frac{32}{4^{\sin x}}=18, \\ 4^{\sin x}=t, \\ t+\frac{32}{t}-18=0, \\ t^2-18t+32=0, \\ t_1=2, t_2=16, \\ 4^{\sin x}=2, \\ 4^{\sin x}=4^{\frac{1}{2}}, \\ \sin x=\frac{1}{2}, \\ x_1=(-1)^k \arcsin\frac{1}{2}+\pi k, k\inZ, \\ x_1=(-1)^k \frac{\pi}{6}+\pi k, k\inZ, \\ 4^{\sin x}=16, \\ 4^{\sin x}=4^{2}, \\ \sin x=2>1, \\ x_2\in\emptyset" align="absmiddle" class="latex-formula">