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

Short Answer

Suppose that a school of fish in a pond grows according to the exponential law $\mathrm { P } ( \mathrm { t } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { \mathrm { kt } }$ and suppose that the size of the colony triples in 24 days. Determine k.
Enter your answer exactly in the form $\frac { \ln a } { \mathrm {~b} }$ where a, b are integers.