Solve a/b=e^c

$$\frac { a } { b } = e ^ { c }$$

Solve for a

$$a=be^{c}$$

$$b\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{b}a=e^{c}$$

Divide both sides by b^{-1}.

$$\frac{\frac{1}{b}ab}{1}=\frac{e^{c}b}{1}$$

Dividing by b^{-1} undoes the multiplication by b^{-1}.

$$a=\frac{e^{c}b}{1}$$

Divide e^{c} by b^{-1}.

$$a=be^{c}$$

Solve for b

$$b=\frac{a}{e^{c}}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$a=be^{c}$$

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

$$be^{c}=a$$

The equation is in standard form.

$$e^{c}b=a$$

Divide both sides by e^{c}.

$$\frac{e^{c}b}{e^{c}}=\frac{a}{e^{c}}$$

Dividing by e^{c} undoes the multiplication by e^{c}.

$$b=\frac{a}{e^{c}}$$

Variable b cannot be equal to 0.

$$b=\frac{a}{e^{c}}\text{, }b\neq 0$$