SOLUTION: Good afternoon! I am trying to solve this problem. 4000=2,000*e^(0.08)*t 4,000/2,000=e^0.08t 2=e^0.05t ln2=0.08*t I got this far and got stuck.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Good afternoon! I am trying to solve this problem. 4000=2,000*e^(0.08)*t 4,000/2,000=e^0.08t 2=e^0.05t ln2=0.08*t I got this far and got stuck.       Log On


   

Question 208100: Good afternoon! I am trying to solve this problem.
4000=2,000*e^(0.08)*t
4,000/2,000=e^0.08t
2=e^0.05t
ln2=0.08*t
I got this far and got stuck.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4000 = 2,000*e^(0.08)*t
4,000/2,000 = e^0.08t
2 = e^0.05t
:
Find the natural log of both sides
ln(2) = ln(e^(.08*t))
:
use the log equiv of exponents
ln(2) = .08t*ln(e)
:
The nat log of e is one, so we just have
.693 = .08t
t = .693%2F.08
t = 8.66
:
:
Check solution on a calc: enter 2000*e^(.08*8.66) = 3993 ~ 4000