Løs for x (complex solution)
x=e^{-\frac{2\pi n_{1}\left(Im(y)+iRe(y)\right)}{\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}}}\times 2^{\frac{-Re(y)+iIm(y)}{\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}}}
n_{1}\in \mathrm{Z}
Løs for y (complex solution)
y=\frac{2\pi n_{1}i}{\ln(x)}-\log_{x}\left(2\right)
n_{1}\in \mathrm{Z}
x\neq 0\text{ and }x\neq 1
Løs for x
\left\{\begin{matrix}x=\left(\frac{1}{2}\right)^{\frac{1}{y}}\text{, }&y\neq 0\\x=-\left(\frac{1}{2}\right)^{\frac{1}{y}}\text{, }&Numerator(y)\text{bmod}2=0\text{ and }Denominator(y)\text{bmod}2=1\text{ and }y\neq 0\end{matrix}\right,
Løs for y
y=-\log_{x}\left(2\right)
x\neq 1\text{ and }x>0
Graf
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