Løs 8y=log_{2}sqrt{4-x^2}

$$8 y = \log _ { 2 } \sqrt { 4 - x ^ { 2 } }$$

Løs for x (complex solution)

$$x=-\sqrt{4-65536^{y}}$$

$$x=\sqrt{4-65536^{y}}\text{, }-2\pi \lfloor \frac{4\ln(2)Im(y)}{\pi }\rfloor +8\ln(2)Im(y)<\pi \text{ and }Im(\ln(256^{y}))-8\ln(2)Im(y)=0$$

Løs for y (complex solution)

$$y=\frac{\log_{2}\left(\sqrt{4-x^{2}}\right)}{8}$$

$$x\neq -2\text{ and }x\neq 2$$

Løs for x

$$x=\sqrt{4-2^{16y}}$$

$$x=-\sqrt{4-2^{16y}}\text{, }y\leq \frac{1}{8}$$

Løs for y

$$y=\frac{\log_{2}\left(4-x^{2}\right)}{16}$$

$$|x|<2$$