Solve for r A=Pe^(rt)

Problem

A=P*e(r*t)

Solution

1. Isolate the exponential term by dividing both sides of the equation by P

A/P=e(r*t)

2. Apply the natural logarithm to both sides to eliminate the base e

ln(A/P)=ln(e(r*t))

3. Simplify the right side using the property ln(ex)=x

ln(A/P)=r*t

4. Solve for r by dividing both sides by t

r=ln(A/P)/t

Final Answer

r=ln(A/P)/t

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