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April 18, 2014

Homework Help: Math - Bases

Posted by Laura on Sunday, October 29, 2006 at 1:55am.

What is 12 base 5? Would you just divide 12 by five and get 2 (but then what about the remainder)


If you are refering to logs, 12 base 5 means log of 12 to the base 5. Call it x.
5^x = 12.
x = log 12/log 5 (any log base can be used)
x = 1.07918/0.69897 = 1.54396

If "5" is refering to the base of a counting systems, and you can write only single-digit numbers 0,1,2,3, 4, then 12 (in the tens-based terminology that we use) is two 5's (5^1) and 2 ones (5^0), and would be written 22.

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