Решить gamma^r=q

$$\gamma ^ { r } = q$$

Найдите q (комплексное решение)

$$q=\gamma ^{r}$$

Найдите r (комплексное решение)

$$\left\{\begin{matrix}r=\frac{2\pi n_{1}i}{\ln(\gamma )}+\log_{\gamma }\left(q\right)\text{, }n_{1}\in \mathrm{Z}\text{, }&q\neq 0\text{ and }\gamma \neq 1\text{ and }\gamma \neq 0\\r\in \mathrm{C}\text{, }&\left(\gamma =0\text{ and }q=0\right)\text{ or }\left(\gamma =1\text{ and }q=1\right)\end{matrix}\right,$$

Найдите q

$$q=\gamma ^{r}$$

$$\left(\gamma <0\text{ and }Denominator(r)\text{bmod}2=1\right)\text{ or }\left(\gamma =0\text{ and }r>0\right)\text{ or }\gamma >0$$

Найдите r

$$\left\{\begin{matrix}r=\log_{\gamma }\left(q\right)\text{, }&q>0\text{ and }\gamma \neq 1\text{ and }\gamma >0\\r\in \mathrm{R}\text{, }&\left(\gamma =1\text{ and }q=1\right)\text{ or }\left(\gamma =-1\text{ and }q=-1\text{ and }Denominator(r)\text{bmod}2=1\text{ and }Numerator(r)\text{bmod}2=1\right)\\r>0\text{, }&\gamma =0\text{ and }q=0\end{matrix}\right,$$