On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population gains $\dfrac{6}{7}$ of its size every $2.4$ days, and can be modeled by a function, $L$, which depends on the amount of time, $t$ (in days).
Before the first day of spring, there were $4600$ locusts in the population.
**Write a function that models the locust population $t$ days since the first day of spring.**
$L(t) = $ [[☃ expression 1]]