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Properties of Logarithms

Definition 1.1.  Logarithm: x=ayy=logax.

Properties

  1. log a 1 = 0
  2. log a a x = x
  3. a log a x = x
  4. log a ( M N ) = log a M + log a N
  5. log a ( M N ) = log a M log a N
  6. log a ( M c ) = c log a M
  7. log a x = log b x log b a

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Last revised: 17 March 2005 12:45 p.m.