Ok ok ok...
First, it's "algorithms", not "logarithms"
Secondly, that's partly right.... All you really need to know without getting into technical mumbo jumbo is that audio CD's and audio CD players are designed to play very much like their old analog counterparts. Your audio CD player only has a limited amount of time to read a block of data before that same data is needed by the converters...otherwise your audio CD might just stop playing for a while to catch up...that's unacceptable. So, what an audio CD does when it runs into a problem is try to read the "bad" data as well as it can in the alloted time and if it can't read, one of two things usually happen: a) the CD player interpolates the damaged data (e.g. it guesses) b) if the error is too wide, then you'll get a dropout, or "skip". Now if it's a really bad scratch or smudge, the audio CD player freak out and start skipping trying to get back on track.
When you burn an audio CD, that's the technology you're relying on to preserve your precious data. You can't copy an audio track back to the computer, it has to be "ripped" using special software. While most of the time you will get back a good copy, you are not guaranteed to get what you wrote to the disc!!!!! Now using programs like "exact audio copy" can make the process much safer...you can for the most part tell it to NOT "guess" and inform you of errors, and it'll sit there and try to get "bad" data for as long as it can. This is a lot of hassle and all you're doing is mimicing a data CD!
Data CD's are a different story. You either get your wave file in its entirety as a perfect copy of the original, or you get nothing at all (e.g. "cannot read file, please freak out."). When preserving your audio tracks, a data CD is really the ONLY way you should go.
I should also note that yes, the "algorithms" used to encode data CD's are more robust than those used to encode audio cd's.
Oh, and the comments about an audio cd being limited to 16/44 are of course super valid too!
Slackmaster 2000