This is the "Revenge of the Nerds" variation of the Twentieth Century Fox logo used from 1982-1993, with the extended fanfare that was used from 1980 until circa 1984. The style of this logo is much like the TCF logo used for 1977's "Star Wars," in which the logo fades to a title card that says "A Lucas Film Limited" Presentation, or something along those lines. It is the extended version that fades before the fanfare, to the "Revenge of the Nerds" title card. Used in 1984.
I used to have this on a video from when my parents taped this movie off of HBO in 1986, but that tape has since broken.
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