DLMF:4.2.E15 (Q1511): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2addec
Property / Symbols used
 
Property / Symbols used: Q11220 / rank
 
Normal rank
Property / Symbols used: Q11220 / qualifier
 
test:

log a z 𝑎 𝑧 {\displaystyle{\displaystyle\operatorname{log}_{\NVar{a}}\NVar{z}}}

\genlog{\NVar{a}}@@{\NVar{z}}
Property / Symbols used: Q11220 / qualifier
 
xml-id: C4.S2.EGx1.m1addec
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2aidec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1jdec

Latest revision as of 17:02, 1 January 2020

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DLMF:4.2.E15
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    Statements

    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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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2addec
    0 references
    log a z 𝑎 𝑧 {\displaystyle{\displaystyle\operatorname{log}_{\NVar{a}}\NVar{z}}}
    C4.S2.EGx1.m1addec
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aidec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1jdec
    0 references