Solve M=Ne^-alphat

$$M = N e ^ { - \alpha t }$$

Solve for N

$$N=Me^{t\alpha }$$

Steps for Solving Linear Equation

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

$$Ne^{\left(-\alpha \right)t}=M$$

Reorder the terms.

$$Ne^{-t\alpha }=M$$

The equation is in standard form.

$$\frac{1}{e^{t\alpha }}N=M$$

Divide both sides by e^{-t\alpha }.

$$\frac{\frac{1}{e^{t\alpha }}Ne^{t\alpha }}{1}=\frac{Me^{t\alpha }}{1}$$

Dividing by e^{-t\alpha } undoes the multiplication by e^{-t\alpha }.

$$N=\frac{Me^{t\alpha }}{1}$$

Divide M by e^{-t\alpha }.

$$N=Me^{t\alpha }$$

Solve for M

$$M=\frac{N}{e^{t\alpha }}$$