求解 x=e^aθ

$$x = e ^ { a \theta }$$

求解 a 的值 (复数求解)

$$\left\{\begin{matrix}a=\frac{\ln(x)}{\theta }+\frac{2\pi n_{1}i}{\theta }\text{, }n_{1}\in \mathrm{Z}\text{, }&\theta \neq 0\text{ and }x\neq 0\\a\in \mathrm{C}\text{, }&x=1\text{ and }\theta =0\end{matrix}\right.$$

求解 a 的值

$$\left\{\begin{matrix}a=\frac{\ln(x)}{\theta }\text{, }&\theta \neq 0\text{ and }x>0\\a\in \mathrm{R}\text{, }&x=1\text{ and }\theta =0\end{matrix}\right.$$

求解 x 的值

$$x=e^{a\theta }$$