Solve 2y_8^4=x

$$2 y _ { 8 } ^ { 4 } = x$$

Solve for x

$$x=2y_{8}^{4}$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$x=2y_{8}^{4}$$

Solve for y_8 (complex solution)

$$y_{8}=\frac{2^{\frac{3}{4}}i\sqrt[4]{x}}{2}$$

$$y_{8}=\frac{2^{\frac{3}{4}}\sqrt[4]{x}}{2}$$

$$y_{8}=-\frac{2^{\frac{3}{4}}\sqrt[4]{x}}{2}$$

$$y_{8}=-\frac{2^{\frac{3}{4}}i\sqrt[4]{x}}{2}$$

Solve for y_8

$$y_{8}=\frac{2^{\frac{3}{4}}\sqrt[4]{x}}{2}$$

$$y_{8}=-\frac{2^{\frac{3}{4}}\sqrt[4]{x}}{2}\text{, }x\geq 0$$