DLMF:4.8.E10 (Q1601)

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DLMF:4.8.E10
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    Statements

    Defining formula
    exp ⁡ ( ln ⁡ z ) = exp ⁡ ( Ln ⁡ z ) = z . 𝑧 multivalued-natural-logarithm 𝑧 𝑧 {\displaystyle{\displaystyle\exp\left(\ln z\right)=\exp\left(\operatorname{Ln}% z\right)=z.}}
    0 references
    DLMF id
    DLMF:4.8.E10
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    Symbols used
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2abdec
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    general logarithm function
    Defining formula
    Ln ⁡ z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}
    xml-id
    C4.S2.E1.m2addec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aedec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1idec
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