Leystu fyrir n (complex solution)
\left\{\begin{matrix}n=\frac{2\pi n_{1}i}{\ln(x)}\text{, }n_{1}\in \mathrm{Z}\text{, }&x\neq 1\text{ and }x\neq 0\\n\in \mathrm{C}\text{, }&x=1\end{matrix}\right.
Leystu fyrir x (complex solution)
x=e^{-\frac{2\pi n_{1}\left(Im(n)+iRe(n)\right)}{\left(Re(n)\right)^{2}+\left(Im(n)\right)^{2}}}
n_{1}\in \mathrm{Z}
Leystu fyrir n
\left\{\begin{matrix}n=0\text{, }&x\neq 0\text{ and }|x|\neq 1\\n\in \mathrm{R}\text{, }&x=1\end{matrix}\right.
Leystu fyrir x
\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=-1\text{, }&Numerator(n)\text{bmod}2=0\text{ and }Denominator(n)\text{bmod}2=1\\x\neq 0\text{, }&n=0\end{matrix}\right.
Graf
Spurningakeppni
Algebra
5 vandamál svipuð og:
\frac{ { x }^{ -2 } { x }^{ 10 } }{ { \left( { x }^{ 2 } \right) }^{ 4 } } = { x }^{ n }
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