<PRE><B>Question 208100</B>
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/.08}}}
t = 8.66
:
:
Check solution on a calc: enter 2000*e^(.08*8.66) = 3993 ~ 4000  </PRE>