Log[E^n] == n /; Element[n, Integers]

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Log", "[", SuperscriptBox["\[ExponentialE]", "n"], "]"]], "\[Equal]", "n"]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <msup> <mi> &#8519; </mi> <mi> n </mi> </msup> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mi> n </mi> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &#8712; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> <mtext> </mtext> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ln /> <apply> <power /> <exponentiale /> <ci> n </ci> </apply> </apply> <ci> n </ci> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", SuperscriptBox["\[ExponentialE]", "n_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["n", "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]]

2001-10-29