Solve I=I_{0}e^-mud

$$I = I _ { 0 } e ^ { - \mu d }$$

Solve for I_0

$$I_{0}=Ie^{d\mu }$$

Steps for Solving Linear Equation

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

$$I_{0}e^{\left(-\mu \right)d}=I$$

Reorder the terms.

$$I_{0}e^{-d\mu }=I$$

The equation is in standard form.

$$\frac{1}{e^{d\mu }}I_{0}=I$$

Divide both sides by e^{-d\mu }.

$$\frac{\frac{1}{e^{d\mu }}I_{0}e^{d\mu }}{1}=\frac{Ie^{d\mu }}{1}$$

Dividing by e^{-d\mu } undoes the multiplication by e^{-d\mu }.

$$I_{0}=\frac{Ie^{d\mu }}{1}$$

Divide I by e^{-d\mu }.

$$I_{0}=Ie^{d\mu }$$

Solve for I

$$I=\frac{I_{0}}{e^{d\mu }}$$