# Math problem! Help please?

The population of a small town is modeled by the equation 1850e^0.3t where t is measured in years. In approximately how many years (rounded to the nearest year) will the town's population reach 20,000?

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- az_lenderLv 74 weeks agoFavorite Answer
"1850e^0.3t" is not an EQUATION, as it contains no equals sign. Your teacher is a moron.

However, the answer he/she is after is to solve for t when

20000 = 1850*e^(0.3t) =>

0.3t = ln(2000/185) = 2.38 =>

t = 2.38/0.3 = around 7.7 years, round off to 8 years.

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Thank you!! I appreciate you showing how you got the answer as well!!!