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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elementary Functions  /
Log

  • Log[ z ] gives the natural logarithm of z (logarithm to base ).
  • Log[ b , z ] gives the logarithm to base b.
  • Mathematical function (see Section A.3.10).
  • Log gives exact rational number results when possible.
  • Log[ z ] has a branch cut discontinuity in the complex z plane running from to .
  • See the Mathematica book: Section 1.1.3Section 3.2.6.
  • See also: Exp, Power, Arg, MantissaExponent, ProductLog.

    Further Examples

    Without a second argument Log is the natural logarithm to the base E.

    In[1]:=

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    This is the derivative.

    In[2]:=

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    This is the integral.

    In[3]:=

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    This is a series expansion around .

    In[4]:=

    Out[4]=