Barrons AP Calculus - David Bock

(E) Separating variables yields Integrating gives ln x = kt + C. Since x = 2 when t =
0, ln 2 = C. Then ln x = kt + ln 2. Using x = 6 when t = 1, it follows that ln 6 = k + ln 2, so k
= ln 6 − ln 2 =