SOLUTION: I was wondering if you could perhapse teach me how to solve this question step by step. thank you. Topic: Undoing the exponential If a population is modelled with P = 12,30

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Question 26946: I was wondering if you could perhapse teach me how to solve this question step by step. thank you.
Topic: Undoing the exponential
If a population is modelled with P = 12,300 e to the power of 0.073t; t in years
When will the population reach 20,000 people provided it keeps growing in the same fashion. In other words how would we solve this equation step by step please? thank you!
Answer by mbarugel(146) (Show Source):
You can put this solution on YOUR website!
(Sorry, I accidentally clicked the Post Answer button previously. This is the correct answer)
The population model is:

SO we have to solve:
for t
First divide both sides by 12300

Then take the natural logarithm of both sides:

Recall that
So we get:

years