SOLUTION: A population of rabbits triples every 2 months. If there are 2 rabbits initially, how long will it take for the population to increase to 500 rabbits?

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Question 1006436: A population of rabbits triples every 2 months. If there are 2 rabbits initially, how long will it take for the population to increase to 500 rabbits?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
p for population
t for count of months

Exponential growth model, p=2%2A3%5Et

You can plug in successive values for t and plot points and read from the graph, or you can try:
log%28%28p%29%29=log%28%282%29%29%2Blog%28%283%5Et%29%29
log%28%28p%29%29=log%28%282%29%29%2Bt%2Alog%28%283%29%29
log%28%28p%29%29-log%28%282%29%29%2Bt%2Alog%28%283%29%29
log%28%28p%2F2%29%29%281%2Flog%28%283%29%29%29=t
and now p=500.
t=log%28%28500%2F2%29%29%2Flog%28%283%29%29
highlight%28t=log%28%28250%29%29%2Flog%28%283%29%29%29