Lös y=(lnx)^4

$$y = ( \ln x ) ^ { 4 }$$

Lös ut x (complex solution)

$$\left\{\begin{matrix}x=e^{i\sqrt[4]{y}}\text{, }&Im(\ln(e^{i\sqrt[4]{y}}))-Re(\sqrt[4]{y})=0\\x=e^{\sqrt[4]{y}}\text{, }&Im(\ln(e^{\sqrt[4]{y}}))-Im(\sqrt[4]{y})=0\\x=\frac{1}{e^{\sqrt[4]{y}}}\text{, }&Im(\ln(\frac{1}{e^{\sqrt[4]{y}}}))+Im(\sqrt[4]{y})=0\\x=e^{-i\sqrt[4]{y}}\text{, }&Im(\ln(e^{-i\sqrt[4]{y}}))+Re(\sqrt[4]{y})=0\end{matrix}\right,$$

Lös ut y (complex solution)

$$y=\ln(x)^{4}$$

$$x\neq 0$$

Lös ut x

$$x=e^{\sqrt[4]{y}}$$

$$x=\frac{1}{e^{\sqrt[4]{y}}}\text{, }y\geq 0$$

Lös ut y

$$y=\ln(x)^{4}$$

$$x>0$$