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The only base number you are ever likely to come across is base 10. It is the system used by everyone everywhere. It means there are 10 numbers (0,1,2,3,4,5,6,7,8,9) and then they repeat (10,11,12,13,14,15,16,17,18,19). They only other base ever commonly used was base 6. This system would look like 0,1,2,3,4,5,6,10,11,12,13,14,15,16,20,21,22,... In mathematics, changing bases is sometimes useful. For instance in taking logs (logarithms). log10(1000)=3 is easy but not log6(1000)=.77815125038364. This is because we always assume that 1000 is the 1000 in base 10.

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Q: In math what is a base number?
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