For starters, fluorescent light is not constant light; it flickers at 60 Hertz. So your exposure would need to be 1/60 second or longer.
Then there is a problem with the color spectrum of fluorescent light, which exposure compensation will not address. The only answers that I know about are filtering while taking the photograph or compensation filtering in the darkroom. The former works better than the later.
If you use a strobe, the strobe illuminated areas will be properly color balanced, the rest not.