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Mathematics
General Math
Error in approximation to log(223)/log(3) .... senior moment?
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[QUOTE="Swamp Thing, post: 6815584, member: 5126"] This is probably a silly question, but I am really stuck. A possible senior moment, is my only excuse. Here is an approximation: ##log(223)/log(3) \approx 10818288 / 2198026 ## So we have: ##log(223)/log(3) - 10818288 / 2198026 = 0.0399292## which is OK but not great -- the error shows up right at the second decimal. But when we do this: ##10818288 \times log(223) - 2198026 \times log(3)## it gives us -0.000984652, which looks way better. I would expect the error between two large numbers to be larger than when the same thing is recast as a difference between two small numbers. Again, it's probably a silly thing that I'm missing, but I haven't been able to find it. [/QUOTE]
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Mathematics
General Math
Error in approximation to log(223)/log(3) .... senior moment?
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