Thread: [SOLVED] difficult algebric eq'

Hello!
it looks like a very simple one:

$\displaystyle 3^{(x/2)}+1=2^x$

as you can see x=2.

the question is: find x. meaning, find it, as if you don't know that x=2. also don't prove x=2 is right, and don't prove it's the only one.
I need to prove it analytically, and my brain is going mad because of that,
can someone help?

Thanks a lot.

How about taking the natural log Ln of both sides?