Issolvi log_{2}2^x+log_{2}y=3.log_{2}2^3x+log_{2}y^2=4

$$\log _ { 2 } 2 ^ { x } + \log _ { 2 } y = 3 . \log _ { 2 } 2 ^ { 3 x } + \log _ { 2 } y ^ { 2 } = 4$$

Solvi għal x (complex solution)

$$x=-\log_{2}\left(y\right)+\frac{2\pi n_{1}i}{\ln(2)}+3$$

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

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

Solvi għal y (complex solution)

$$y=\frac{8}{2^{x}}$$

$$Im(\ln(2^{3-x}))+Im(\ln(2^{x}))=0$$

Solvi għal x

$$x=-\log_{2}\left(y\right)+3$$

$$y>0$$

Solvi għal y

$$y=\frac{8}{2^{x}}$$