Resolver 4/sqrt[2]{7^y}*9^x/3=z^y

$$\frac { 4 } { \sqrt[ 2 ] { 7 ^ { y } } } \times \frac { 9 ^ { x } } { 3 } = z ^ { y }$$

Resolver x (complex solution)

$$x=\frac{\ln(7^{\frac{y}{2}}z^{y})+\ln(\frac{3}{4})}{2\ln(3)}+\frac{\pi n_{1}i}{\ln(3)}$$

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

$$z\neq 0\text{ or }y=0$$

Resolver x

$$x=\frac{2\ln(\sqrt{z^{y}}\times 7^{\frac{y}{4}})+\ln(\frac{3}{4})}{2\ln(3)}$$

$$\left(Denominator(y)\text{bmod}2=1\text{ or }z>0\right)\text{ and }z^{y}\geq 0\text{ and }z\neq 0$$