Question

e^-x*sqrt(3*e^2x-5/4) = e^x
Solve for x?

Answer 1

Hmm that's a little hard to read, lemme see if I'm looking at it correctly:
\[e^{-x}\sqrt{3e^{2x-5/4}}=e^x\]
is that the equation? :o

Answer 2

No, the 5/4 is not part of the exponent in the square root

Answer 3

\[e^{-x}\sqrt{3e^{2x}-\frac{ 5 }{ 4 }}=e^x\]
Hmm ok let's see what we can figure out :)

Answer 4

Exactly!!! :)

Answer 5

I am stuck on how to pull the x out from the rest of the equation :'(

Answer 6

Well we'll be able to use logarithms to get the x's out of the exponent, but before we do that, we have some algebra to do D:

Answer 7

Do these steps make sense so far? :o