Solve the following equation:
4-e^x = 3e^(x+2) with the answer ln(4/(3e^(2) - 1).

Question

jamesj · Answer

e^(x+2) = e^2.e^x

Now use that to find an expression

e^x = something.

Then take the log of both sides.

jamesj · Answer

Making sense?

jamesj · Answer

(and btw, I think there's a sign wrong in your answer.)

anonymous · Answer

I get the concept, but I can't get it to work...

jamesj · Answer

4-e^x             = 3e^(x+2)
4 - e^x           = 3.e^2.e^x
4                     = 3e^2.e^x + e^x
(3e^2 + 1)e^x = 4
                e^x = 4/(3e^2 +1)

anonymous · Answer

Ah, fantastic - I got to the second step but couldn't see what to do next! Obvious now, of course... Thank you!