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 Log

 http://functions.wolfram.com/01.04.17.0010.01

 Input Form

 Log[z] == Log[a] + Log[z/a] + 2 I Pi Floor[Arg[z - a]/(2 Pi)] /; a < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Log", "[", "z", "]"]], "\[Equal]", " ", RowBox[List[RowBox[List["Log", "[", "a", "]"]], "+", RowBox[List["Log", "[", FractionBox["z", "a"], "]"]], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["Arg", "[", RowBox[List["z", "-", "a"]], "]"]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]]]]]], "/;", RowBox[List["a", "<", "0"]]]]]]

 MathML Form

 log ( z ) log ( a ) + log ( z a ) + 2 π arg ( z - a ) 2 π /; a < 0 Condition z a z a -1 2 z -1 a 2 -1 a 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Log", "[", "a", "]"]], "+", RowBox[List["Log", "[", FractionBox["z", "a"], "]"]], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["Arg", "[", RowBox[List["z", "-", "a"]], "]"]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]]]], "/;", RowBox[List["a", "<", "0"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2007-05-02