DLMF:4.2.E15 (Q1511)

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DLMF:4.2.E15
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    Statements

    Defining formula
    log 10 ⁡ z = ( ln ⁡ z ) / ( ln ⁡ 10 ) = ( log 10 ⁡ e ) ⁢ ln ⁡ z , 10 𝑧 𝑧 10 10 𝑒 𝑧 {\displaystyle{\displaystyle\operatorname{log}_{10}z=\ifrac{(\ln z)}{(\ln 10)}% =(\operatorname{log}_{10}e)\ln z,}}
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    DLMF id
    DLMF:4.2.E15
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    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
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    Q11220
    Defining formula
    log a ⁡ z 𝑎 𝑧 {\displaystyle{\displaystyle\operatorname{log}_{\NVar{a}}\NVar{z}}}
    xml-id
    C4.S2.EGx1.m1addec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aidec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1jdec
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