Question

Solve the equation for t:

Answer 1

\[7000e ^{.09t}=20000(1+.033)^{t}\]

Answer 2

first divide by 1000 and take the ln of both sides (natural logarithm)
ln7e^.09t=ln20(1.033)^t

Answer 3

you have to remember the log rules
ln7+0.9t=ln20+t*ln1.033

Answer 4

from this you just express t
t(0.9-ln1.033)=ln20-ln7
t=(ln20-ln7)/(0.9-ln1.033)

Answer 5

that is actually wrong..

Answer 6

Nevermind the .9 should just be .09

Answer 7

Nevermind again that answer is still wrong!