Leysa y=log_{x}({2})

$$y= \log_{ x }({ 2 })$$

Leystu fyrir x (complex solution)

$$x=2^{\frac{1}{y}}$$

$$y\neq 0\text{ and }Im(\ln(2^{\frac{1}{y}}))-\ln(2)Im(\frac{1}{y})=0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }y=-\frac{\ln(2)i}{2\pi n_{1}}$$

Leystu fyrir y (complex solution)

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

$$x\neq 1\text{ and }x\neq 0$$

Leystu fyrir x

$$x=2^{\frac{1}{y}}$$

$$y\neq 0$$

Leystu fyrir y

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

$$x\neq 1\text{ and }x>0$$