Riješi log_{27}y=-1/3(log_{9}x-3)

$$\log _ { 27 } y = \frac { - 1 } { 3 } ( \log _ { 9 } x - 3 )$$

Riješite za x (complex solution)

$$x=\frac{729}{y^{2}}$$

$$2Im(\ln(y))+Im(\ln(\frac{1}{y^{2}}))=0\text{ and }y\neq 0$$

Riješite za y (complex solution)

$$y=27x^{-\frac{1}{2}}$$

$$\frac{Im(\ln(x))}{2}+Im(\ln(x^{-\frac{1}{2}}))=0\text{ and }x\neq 0$$

Riješite za x

$$x=\frac{729}{y^{2}}$$

$$y>0$$

Riješite za y

$$y=\frac{27}{\sqrt{x}}$$

$$x>0$$