more of the same
posted by Phoebe .
The answer to this should be 201.7, but I keep getting off track.
300=70+(37570) e^ k*10
230=305 e^10*k
ln 230=ln 305 e^10*k
ln 230= ln 305 10*k

yes, you do get off track.
Line 3 should be
(because ln ab = ln a + ln b)
ln 230=ln 305 + ln( e^10*k)
ln 230  ln 305 = 10k
because ln(e^x) = x
now go from there.
In fact, I'd have divided first:
230=305 e^10*k
230/305 = e^10k 
201.7? I get nothing like that
.75 = e^10k
10k = .287
k = .0287
There must be something wrong with the way you wrote the problem.
I mean e^(10*201.7) = a very very very tiny number. Some missing parentheses?