Lös x^7*x^5=x^p

$$x ^ { 7 } \cdot x ^ { 5 } = x ^ { p }$$

Lös ut p (complex solution)

$$\left\{\begin{matrix}p=\frac{2\pi n_{1}i}{\ln(x)}+12\text{, }n_{1}\in \mathrm{Z}\text{, }&x\neq 0\text{ and }x\neq 1\\p\in \mathrm{C}\text{, }&x=0\text{ or }x=1\end{matrix}\right,$$

Lös ut p

$$\left\{\begin{matrix}\\p=12\text{, }&\text{unconditionally}\\p\in \mathrm{R}\text{, }&x=1\text{ or }\left(x=-1\text{ and }Numerator(p)\text{bmod}2=0\text{ and }Denominator(p)\text{bmod}2=1\right)\\p>0\text{, }&x=0\end{matrix}\right,$$

Lös ut x

$$\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=-1\text{, }&Numerator(p)\text{bmod}2=0\text{ and }Denominator(p)\text{bmod}2=1\\x=0\text{, }&p>0\\x\neq 0\text{, }&p=12\end{matrix}\right,$$