Question

Which equation shows the formula
A = pe^(rt) solved for t ?

A. t=In(Ap)-In r
B. t=ln (A/p)-ln r
C. t= ln(A/p)/r
D. t= ln(Ap)/r

Answer 1

\[A=pe^{rt}\iff \frac{A}{p}=e^{rt}\iff \ln(\frac{A}{p})=rt\iff\frac{ \ln(\frac{A}{p})}{r}\]