html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Power

 http://functions.wolfram.com/01.02.27.0020.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2007-05-02