Resol log_{2}y=log_{2}a+log_{2}x^2

$$\log _ { 2 } y = \log _ { 2 } a + \log _ { 2 } x ^ { 2 }$$

Resoleu a (complex solution)

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

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

Resoleu x (complex solution)

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

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

Resoleu a

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

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

Resoleu x

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

$$x=-\sqrt{\frac{y}{a}}\text{, }y>0\text{ and }a>0$$