DLMF:4.8.E13 (Q1604): Difference between revisions

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Property / constraint
 

a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}

a>0
Property / constraint: a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}} / rank
 
Normal rank
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.m2agdec
Property / Symbols used
 
Property / Symbols used: Q11221 / rank
 
Normal rank
Property / Symbols used: Q11221 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11221 / qualifier
 
xml-id: C4.S1.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11218 / qualifier
 
xml-id: C4.S1.XMD6.m1dec

Latest revision as of 17:12, 1 January 2020

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DLMF:4.8.E13
No description defined

    Statements

    ln ( a x ) = x ln a , superscript 𝑎 𝑥 𝑥 𝑎 {\displaystyle{\displaystyle\ln\left(a^{x}\right)=x\ln a,}}
    0 references
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    a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2agdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C4.S1.XMD4.m1bdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C4.S1.XMD6.m1dec
    0 references