Question 1053741
y=ab^x. where x=11 years
235000(1+rate)^11=308340
divide by 235000 to get 1.312, but don't round until end.
(1+r)^11=1.312
take ln of both sides
11 ln (1+r)=ln 1.312
11 ln (1+r)=0.2716
divide by 11 again 0.02469
ln(1+r)=0.02469
now raise to the e power, and 1+r=1.025
r=0.025 or 2.5%, rounding at the end.
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Check
235000*(1.025^11)=308340.36
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2025 will be 20 years
235000*(1.025^20)=385,075, rounding at end
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2000 is 5 years earlier.
235000=(1+0.025)^5*x
235000/(1.025^5)=x
207,706 was the population in 2000.