I have a thermistor varying between 4.5k and 5k ohms for the range of temperature I want to measure. Using a potential divider I have the voltage varying between 5.36v and 5.64v. I want to power an LED only when the temperature is inside this range. How do I do this? Is this voltage range too small? I have tried amplifying it with a 741 amp which gave me output varying from 11.26 to 11.38 this still seems too small. I have looked at this circuit I found online: http://www.camotruck.net/rollins/electronics/thermo-tpcd.png
It seems to compare a voltage set by the pot to a voltage caused by the change in the thermistor resistance. Aside from the fact I would not know how to configure this I think the voltage range I have is too small for this to work. will i be better of increasing the temperature range i want to measure? Please help.

 

You need what is called a "window comparator" circuit.

Rob Paisley has a pretty decent page on comparators here:
http://home.cogeco.ca/~rpaisley4/Comparators.html

A voltage window comparator is described partway down the page. However, if you are just beginning with comparators, this is a good page to read all the way through, and study the circuits. Build some of them, and see how they work.