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 Log

 http://functions.wolfram.com/01.04.16.0057.01

 Input Form

 Log[(-I) z] == (3 I Pi)/2 + Log[z] /; Arg[z] <= -(Pi/2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Log", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["3", " ", "\[ImaginaryI]", " ", "\[Pi]"]], "2"], "+", RowBox[List["Log", "[", "z", "]"]]]]]], "/;", RowBox[List[RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", RowBox[List["-", FractionBox["\[Pi]", "2"]]]]]]]]]

 MathML Form

 log ( - z ) 3 π 2 + log ( z ) /; arg ( z ) - π 2 Condition -1 z 3 2 -1 z z -1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["3", " ", "\[ImaginaryI]", " ", "\[Pi]"]], "2"], "+", RowBox[List["Log", "[", "z", "]"]]]], "/;", RowBox[List[RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", RowBox[List["-", FractionBox["\[Pi]", "2"]]]]]]]]]]]

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

 2007-05-02