Solve x=5^yx5^-y

$$x= { 5 }^{ y } x { 5 }^{ -y }$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Steps for Solving Linear Equation

Subtract 5^{y}x\times 5^{-y} from both sides.

$$x-5^{y}x\times 5^{-y}=0$$

Reorder the terms.

$$-x\times 5^{y}\times 5^{-y}+x=0$$

Combine all terms containing x.

$$\left(-5^{y}\times 5^{-y}+1\right)x=0$$

The equation is in standard form.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Solve for x

$$x\in \mathrm{R}$$

Steps for Solving Linear Equation

Subtract 5^{y}x\times 5^{-y} from both sides.

$$x-5^{y}x\times 5^{-y}=0$$

Reorder the terms.

$$-x\times 5^{y}\times 5^{-y}+x=0$$

Combine all terms containing x.

$$\left(-5^{y}\times 5^{-y}+1\right)x=0$$

The equation is in standard form.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Solve for y (complex solution)

$$y\in \mathrm{C}$$

Solve for y

$$y\in \mathrm{R}$$