Question

A skull cleaning factory cleans animal skulls of​ deer, buffalo and other types of animals using​ flesh-eating beetles. the factory owner started with only 8adult beetles. after 49​days, the beetle population grew to 16adult beetles. how long did it take before the beetle population was 8 comma 000​beetles?

Answer 1

The solution for this problem is:
The population is 500 times bigger since 8000/24 = 500. The population after t days is computed by:P(t) = P₀·4^(t/49) 
Solve for t: 8000 = 8·4^(t/49) 1000 = 4^(t/49) log₄(1000) = t/49t = 49log₄(1000) ≅ 244 days