OK dude. Im gonna tell you EXACTLY how i started out. I FOUND some old seeds that i saved froma while back from some killer middies, and i said what the hell and decided to germ them. I made my first mistake of plantin 4of them in the same little ass bucket, so i ended up pullin them all out except for one, cuz i only had one bucket to start with. I took care of the rest, didnt kill them, but ill tell u about the one i kept in the bucket n how i took care of her.
It was about a week or so old, and it looked similar to yours, though not as stretched out though, but it was kinda limp n stretched. I had it under one 100w output daylight blue CFL, fixed in a clamp lamp. I had that shit hooked to a stack of VHS tapes to keep it over the plant, and then i took a trapper keeper and wrapped it in tinfoil, and surrounded the plant with that which covered it pretty well and provided enough reflection while hiding the light decent enough in the room.
The plant continued to grow, but the stem just stayed flimsy as hell. So i came on here for the first time, and someone told me to put a fan on it, set to LOW, and just keep it on there n shell perk up, n the stem will get beefy.
I know that most people on here have more experience than i do, but im tellin you dude, the fan worked for me. I kept the fan on that fucker for 22 hours a day n let it rest for 2 hours. I fed regularly, just plain water, and made sure that it was held up the right way, so it didnt blow over when i put a fan to it. I even had to back the fan up a little bit to make sure that it didnt straight blow the plant away altogether, lol. But sure enough, a straight week of feeding it water when the soil started to dry out, plus keepin the fan on it nonstop,and the stem tripled in thickness.
I kept the light that i had 3 inches above the plants top, n u should do the same from here on out. Spend the 15 bucks it costs to get a 100watt BLUE spectrum CFL, it should say DAYLIGHT on the box. N get yourself a clamp lamp like i did too. For small ghetto grows, its a good start, and itll give you piece of mind while your thinking of ways to improve on your grow space, and save up the cash to pick up all the shit youll need to see this thing through to the end.
I dont mean to go on forever about this, but i would hate to see you kill your plant, reguardless of its condition, the leaves are still green which means it can be saved, if you care for it, and just be careful in general.
good luck bro, i hope that whatever you decide to do works out for you..
btw, this is what that plant looks like now :