# Calculus

A population of 1200 badgers grow by 6% every 8 years. How long does it take the population of badgers to grow 2000?

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1. 1200(1.06)^(t/8) = 2000
1.06^(t/8) = 1.6666...
take logs of both sides, and use log rules ....
t/8 = log 1.6666../log 1.06 = 8.7667
t = appr 70.13 years

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