Issolvi log_{8}y=-3log_{4}x+1/3

$$\log _ { 8 } y = - 3 \log _ { 4 } x + \frac { 1 } { 3 }$$

Solvi għal x (complex solution)

$$x=2^{\frac{2}{9}}y^{-\frac{2}{9}}$$

$$\frac{2Im(\ln(y))}{9}+Im(\ln(y^{-\frac{2}{9}}))=0\text{ and }y\neq 0$$

Solvi għal y (complex solution)

$$y=2e^{-\frac{9\ln(x)}{2}}$$

$$Im(\ln(e^{-\frac{9\ln(x)}{2}}))+\frac{9Im(\ln(x))}{2}=0\text{ and }x\neq 0$$

Solvi għal x

$$x=\left(\frac{2}{y}\right)^{\frac{2}{9}}$$

$$y>0$$

Solvi għal y

$$y=\frac{2}{x^{\frac{9}{2}}}$$

$$x>0$$