A population of rabbits quadruples every 2 years. If the initial number of rabbits was 25, how long will it take for the population to reach...

The population of rabbits quadruples every 2 years. Let
the number of years taken to reach 700 be T. The initial population is 25. This gives an
equation:

700 =
25*(4)^(T/2)

=> 700/25 =
4^(T/2)

=> 28 =
4^(T/2)

take the log of both the
sides

=> log 28 = (T/2)*log
4

=> T/2 = log 28/log
4

=> T = 2*(log 28/log
4)

=> T = 4.807
years.

The population of rabbits grows to 700
from 25 in 4.807 years.