z^Log[a, b] == b^Log[a, z]

Cell[BoxData[RowBox[List[SuperscriptBox["z", RowBox[List["Log", "[", RowBox[List["a", ",", "b"]], "]"]]], "\[Equal]", SuperscriptBox["b", RowBox[List["Log", "[", RowBox[List["a", ",", "z"]], "]"]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msup> <mi> z </mi> <mrow> <msub> <mi> log </mi> <mi> a </mi> </msub> <mo> ( </mo> <mi> b </mi> <mo> ) </mo> </mrow> </msup> <mo> &#10869; </mo> <msup> <mi> b </mi> <mrow> <msub> <mi> log </mi> <mi> a </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </msup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <ci> z </ci> <apply> <log /> <logbase> <ci> a </ci> </logbase> <ci> b </ci> </apply> </apply> <apply> <power /> <ci> b </ci> <apply> <log /> <logbase> <ci> a </ci> </logbase> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["z_", RowBox[List["Log", "[", RowBox[List["a_", ",", "b_"]], "]"]]], "]"]], "\[RuleDelayed]", SuperscriptBox["b", RowBox[List["Log", "[", RowBox[List["a", ",", "z"]], "]"]]]]]]]

2001-10-29