y=(e^x-1)^2 шешу

$$y = ( e ^ { x } - 1 ) ^ { 2 }$$

x мәнін табыңыз (complex solution)

$$\left\{\begin{matrix}\\x=\ln(\sqrt{y}+1)+2\pi n_{1}i\text{, }n_{1}\in \mathrm{Z}\text{, }&\text{unconditionally}\\x=\ln(-\sqrt{y}+1)+2\pi n_{2}i\text{, }n_{2}\in \mathrm{Z}\text{, }&y\neq 1\end{matrix}\right.$$

x мәнін табыңыз

$$\left\{\begin{matrix}x=\ln(\sqrt{y}+1)\text{, }&y\geq 0\\x=\ln(-\sqrt{y}+1)\text{, }&y\geq 0\text{ and }y<1\end{matrix}\right.$$

y мәнін табыңыз

$$y=\left(e^{x}-1\right)^{2}$$