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http://functions.wolfram.com/01.05.03.0002.01
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Log[a, E^n] == n/Log[a] /; Element[n, Integers]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Log", "[", RowBox[List["a", ",", SuperscriptBox["\[ExponentialE]", "n"]]], "]"]], "\[Equal]", FractionBox["n", RowBox[List["Log", "[", "a", "]"]]]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <mi> log </mi> <mi> a </mi> </msub> <mo> ( </mo> <msup> <mi> ⅇ </mi> <mi> n </mi> </msup> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mfrac> <mi> n </mi> <mrow> <mi> log </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> a </mi> <mo> ) </mo> </mrow> </mfrac> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <log /> <logbase> <ci> a </ci> </logbase> <apply> <power /> <exponentiale /> <ci> n </ci> </apply> </apply> <apply> <times /> <ci> n </ci> <apply> <power /> <apply> <ln /> <ci> a </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", RowBox[List["a_", ",", SuperscriptBox["\[ExponentialE]", "n_"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["n", RowBox[List["Log", "[", "a", "]"]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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