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 Power

 http://functions.wolfram.com/01.02.27.0018.01

 Input Form

 Log[z, z^a] == a + ((2 I Pi)/Log[z]) Floor[(Pi - Im[a Log[z]])/(2 Pi)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Log", "[", RowBox[List["z", ",", SuperscriptBox["z", "a"]]], "]"]], "\[Equal]", RowBox[List["a", "+", RowBox[List[FractionBox[RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]", " "]], RowBox[List["Log", "[", "z", "]"]]], RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]]]]]]]]

 MathML Form

 log z ( z a ) a + 2 π log ( z ) π - Im ( a log ( z ) ) 2 π z z a a 2 z -1 -1 a z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", RowBox[List["z_", ",", SuperscriptBox["z_", "a_"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["a", "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]"]], ")"]], " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]], RowBox[List["Log", "[", "z", "]"]]]]]]]]]

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

 2007-05-02