Rewrite the equation as .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Expand by moving outside the logarithm.

The natural logarithm of is .

Multiply by .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve for r A=Pe^(rt)