Question

Population of rabbits doubles every 60 days . According to P=10(2)^1/60 where p is population of rabbits on day t. What is the value of t when population hits 320?

Answer 1

P = 10 (2)^ 1/60

P = 10 (2)^ t/60

320 = 10 (2)^t/60

Divide both sides by 10

32 = 2 ^ t/60

Rewrite 32 as 2^5

2^5 = 2^ t/60

5= t/60

5*60 = t

t = 300

When the population hits 320, t is 300.