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 Power

 http://functions.wolfram.com/01.02.19.0011.01

 Input Form

 Im[x^a] == x^Re[a] Sin[Im[a] Log[x]] /; Element[x, Reals] && x > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Im", "[", SuperscriptBox["x", "a"], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["x", RowBox[List["Re", "[", "a", "]"]]], " ", RowBox[List["Sin", "[", RowBox[List[RowBox[List["Im", "[", "a", "]"]], " ", RowBox[List["Log", "[", "x", "]"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["x", ",", "Reals"]], "]"]], "\[And]", RowBox[List["x", ">", "0"]]]]]]]]

 MathML Form

 Im ( x a ) x Re ( a ) sin ( Im ( a ) log ( x ) ) /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x > 0 Condition x a x a a x x x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Im", "[", SuperscriptBox["x_", "a_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["x", RowBox[List["Re", "[", "a", "]"]]], " ", RowBox[List["Sin", "[", RowBox[List[RowBox[List["Im", "[", "a", "]"]], " ", RowBox[List["Log", "[", "x", "]"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", ">", "0"]]]]]]]]]]

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

 2001-10-29