Leysa -e^-y=e^x-5

$$- e ^ { - y } = e ^ { x } - 5$$

Leystu fyrir x (complex solution)

$$x=\ln(5e^{y}-1)+2\pi n_{1}i-y$$

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

$$\nexists n_{2}\in \mathrm{Z}\text{ : }y=-\ln(5)+2\pi n_{2}i$$

Leystu fyrir y (complex solution)

$$y=-\ln(5-e^{x})-2i\pi n_{1}$$

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

$$\nexists n_{2}\in \mathrm{Z}\text{ : }x=\ln(5)+2\pi n_{2}i$$

Leystu fyrir x

$$x=\ln(5e^{y}-1)-y$$

$$y>-\ln(5)$$