Risolvi y={left(-1/2right)}^x

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

Trova x (soluzione complessa)

$$x=\frac{\ln(y)}{-\ln(2)+\pi i}+\frac{2\pi n_{1}i}{-\ln(2)+\pi i}$$

$$n_{1}\in \mathrm{Z}$$

$$y\neq 0$$

Trova x

$$x=-\log_{2}\left(y\right)$$

$$y>0\text{ and }Numerator(\log_{2}\left(y\right))\text{bmod}2=0\text{ and }Denominator(\log_{2}\left(y\right))\text{bmod}2=1$$

Trova y

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

$$Denominator(x)\text{bmod}2=1$$