Question

Solve the exponential equation. Express your solutions in exact form only.

Answer 1

\[2e^x=\sqrt{10}e^x+3\]

Answer 2

Get the equation in the form

\[e^x = something\]
then
\[x = \ln(something)\]

Answer 3

here's the first step if you're stuck:
\[(2 - \sqrt{10}) e^x = 3\]

Answer 4

But there's a twist in this equation which I'll point out to you by reminding you that for all real number x
\[e^x > 0\]