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 Log

 http://functions.wolfram.com/01.05.20.0002.01

 Input Form

 D[Log[a, z], {a, 2}] == ((2 + Log[a]) Log[z])/(a^2 Log[a]^3)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["a", ",", "2"]], "}"]]], RowBox[List["Log", "[", RowBox[List["a", ",", "z"]], "]"]]]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", "+", RowBox[List["Log", "[", "a", "]"]]]], ")"]], " ", RowBox[List["Log", "[", "z", "]"]]]], RowBox[List[SuperscriptBox["a", "2"], " ", SuperscriptBox[RowBox[List["Log", "[", "a", "]"]], "3"]]]]]]]]

 MathML Form

 2 log a ( z ) a 2 ( log ( a ) + 2 ) log ( z ) a 2 log 3 ( a ) a 2 a z a 2 z a 2 a 3 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["a_", ",", "2"]], "}"]]]]], RowBox[List["Log", "[", RowBox[List["a_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", "+", RowBox[List["Log", "[", "a", "]"]]]], ")"]], " ", RowBox[List["Log", "[", "z", "]"]]]], RowBox[List[SuperscriptBox["a", "2"], " ", SuperscriptBox[RowBox[List["Log", "[", "a", "]"]], "3"]]]]]]]]

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

 2001-10-29