SOLUTION: The population P of a certain city t years from now is given by: 20,000e^0.05t How many years from now will the population be 50,000?

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Question 244858: The population P of a certain city t years from now is given by:
20,000e^0.05t
How many years from now will the population be 50,000?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

Your equation is:
+50000+=+20000e%5E%280.05t%29+
Now, you need to solve for t:
+2.5+=+e%5E%280.05t%29+
+ln%282.5%29+=+0.05t+
+ln%282.5%29%2F0.05+=+t+
+18.33+years+=+t+