DLMF:4.2.E25 (Q1521)

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DLMF:4.2.E25
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    Statements

    Defining formula
    exp ⁡ z = ζ ⟺ z = Ln ⁡ ζ . ⟺ 𝑧 𝜁 𝑧 multivalued-natural-logarithm 𝜁 {\displaystyle{\displaystyle\exp z=\zeta\;\;\Longleftrightarrow\;\;z=% \operatorname{Ln}\zeta.}}
    0 references
    DLMF id
    DLMF:4.2.E25
    0 references
    Symbols used
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2afdec
    0 references
    general logarithm function
    Defining formula
    Ln ⁡ z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}
    xml-id
    C4.S2.E1.m2abdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1rdec
    0 references
     
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