Question 26946
(Sorry, I accidentally clicked the Post Answer button previously. This is the correct answer)

The population model is:

{{{P=12300e^(0.073t)}}}

SO we have to solve:

{{{20000=12300e^(0.073t)}}} for t

First divide both sides by 12300

{{{20000/12300 = e^(0.073t)}}}

Then take the natural logarithm of both sides:

{{{ln(20000/12300) = ln(e^(0.073t))}}}

Recall that {{{ln(e^x)=x}}}

So we get:

{{{ln(20000/12300) = 0.073t}}}

{{{t = ln(20000/12300)/0.073}}}

{{{t = 6.65}}} years