The Logarithm having base *e*, where

(1) |

(2) |

(3) |

(4) |

(5) |

The Mercator Series

(6) |

Continued Fraction representations of logarithmic functions include

(7) |

(8) |

For a Complex Number , the natural logarithm satisfies

(9) |

(10) |

Some special values of the natural logarithm are

(11) |

(12) |

(13) |

(14) |

An identity for the natural logarithm of 2 discovered using the PSLQ Algorithm is

(15) |

**References**

Bailey, D.; Borwein, P.; and Plouffe, S. ``On the Rapid Computation of Various Polylogarithmic Constants.'' http://www.cecm.sfu.ca/~pborwein/PAPERS/P123.ps.

Bailey, D. and Plouffe, S. ``Recognizing Numerical Constants.'' http://www.cecm.sfu.ca/organics/papers/bailey/.

© 1996-9

1999-05-25