Suppose That a School of Fish in a Pond Grows $P ( t ) = P 0 e ^ { k t }$

Short Answer

Suppose that a school of fish in a pond grows according to the exponential law $P ( t ) = P 0 e ^ { k t }$ and suppose that the size of the colony triples in 24 days. If the initial size of the school was 50, when will the school contain 200 fish? Enter your answer exactly in the form $\frac { \mathrm { a } \ln \mathrm { b } } { \ln \mathrm { c } }$