SOLUTION: The population of a small town is modeled by the equation P = 1350e^0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (Ro

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The population of a small town is modeled by the equation P = 1350e^0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (Ro      Log On


   

Question 1138824: The population of a small town is modeled by the equation P = 1350e^0.5t
where t is measured in years. In approximately how many years will the town's population reach 20,000? (Round your answer to two decimal places.)

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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P = 1350e^0.5t
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P = 1350e^(0.5t)
P+=+1350e%5E%280.5t%29

You want t when P=20000.
ln%28P%29=ln%281350%29%2B0.5t
0.5t=ln%28P%29-ln%281350%29
highlight_green%28t=2%28ln%28P%29-ln%281350%29%29%29
You finish.