Listen Carbonzit. I have had enough of your ignorance and rudeness - even throught your PM's to me.
How are you going to get 50k input impedance with a single common emitter stage?
Regarding the input impedance, I guess I overlooked that aspect of the O.P.'s requirements, so I owe you an apology. Here it is: sorry I said those things.
To get 50KΩ input impedance, they'll need to use either a CC (aka emitter follower) or a Darlington stage as you suggested. (According to my textbook, you can only expect to get about 3KΩ with a CE amplifier.) While an emitter follower would probably work, it wouldn't be the first choice, as it has no gain (well, unity gain). So a Darlington it is. (Mr. RB, if you're reading this, do you agree that your solution wouldn't provide a high enough input impedance?)
Regarding my PMs to you, yes, I recall a whole string of them a while ago when I was researching on of your circuits (a boost converter running on 3 volts, which is still an intriguing circuit to me, even though I never got it to work as well as you claimed it did). I still have them in my inbox and outbox.
Since you brought this up in this public forum, all I can say is that while you did provide me some information, for which I am grateful, I found it very frustrating trying to get answers to questions from you, as your replies were invariably only 4 or 5 words, and I kept having to ask you more questions. Now, you could have replied more fully, or you could have said "Don't bother me anymore!", at which point I would have respected your wishes.
But if you're going to give people answers to questions, as happens here, it's better to give an explanation, rather than just say "Do this" or "Do that" without explaining
why you should do this or that.
Regarding my ignorance, yes, I freely admit that I am ignorant of a lot of aspects of electronics. That's why I hang out here! to try to fix my ignorance. (I do have some knowledge, which I'm glad to share with others.)
I guess that's the end of my Sunday sermon.