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 Log

 http://functions.wolfram.com/01.04.16.0085.01

 Input Form

 Log[z^2] == 2 Log[z] - 2 Pi I /; Inequality[Pi/2, Less, Arg[z], LessEqual, Pi]

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2007-05-02