Solve 600/300=x2^x0.5

$$\frac { 600 } { 300 } = x 2 ^ { x 0.5 }$$

Solve for x

$$x=2^{-\frac{x_{0}}{2}+1}$$

Steps for Solving Linear Equation

Divide 600 by 300 to get 2.

$$2=x\times 2^{x_{0}\times 0.5}$$

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

$$x\times 2^{x_{0}\times 0.5}=2$$

The equation is in standard form.

$$2^{\frac{x_{0}}{2}}x=2$$

Divide both sides by 2^{0.5x_{0}}.

$$\frac{2^{\frac{x_{0}}{2}}x}{2^{\frac{x_{0}}{2}}}=\frac{2}{2^{\frac{x_{0}}{2}}}$$

Dividing by 2^{0.5x_{0}} undoes the multiplication by 2^{0.5x_{0}}.

$$x=\frac{2}{2^{\frac{x_{0}}{2}}}$$

Divide 2 by 2^{0.5x_{0}}.

$$x=2^{-\frac{x_{0}}{2}+1}$$

Solve for x_0 (complex solution)

$$x_{0}=-2\log_{2}\left(x\right)+\frac{i\times 4\pi n_{1}}{\ln(2)}+2$$

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

$$x\neq 0$$

Solve for x_0

$$x_{0}=-2\log_{2}\left(x\right)+2$$

$$x>0$$