Solve 0.000312=x*10^y

$$0.000312=x \times { 10 }^{ y }$$

Solve for x

$$x=\frac{39}{125000\times 10^{y}}$$

Steps for Solving Linear Equation

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

$$x\times 10^{y}=0.000312$$

The equation is in standard form.

$$10^{y}x=0.000312$$

Divide both sides by 10^{y}.

$$\frac{10^{y}x}{10^{y}}=\frac{0.000312}{10^{y}}$$

Dividing by 10^{y} undoes the multiplication by 10^{y}.

$$x=\frac{0.000312}{10^{y}}$$

Divide 0.000312 by 10^{y}.

$$x=\frac{39}{125000\times 10^{y}}$$

Solve for y (complex solution)

$$y=\log(e)\left(-\ln(x)+\ln(0.000312)\right)+i\times 2\pi n_{1}\log(e)$$

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

$$x\neq 0$$

Solve for y

$$y=\log(e)\left(-\ln(x)+\ln(0.000312)\right)$$

$$x>0$$