Difference between revisions of "Logarithm base a"

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[[Log base a in terms of logarithm base b]]<br />
 
[[Log base a in terms of logarithm base b]]<br />
 
[[Log a(z)=1/log b(a)]]<br />
 
[[Log a(z)=1/log b(a)]]<br />
 +
[[Log e(z)=log(z)]]<br />
 +
[[Log 10(z)=log(z)/log(10)]]<br />
 +
[[Log 10(z)=log 10(e)log(z)]]<br />
 +
[[Log(z)=log(10)log 10(z)]]<br />
  
 
=See also=
 
=See also=

Latest revision as of 19:36, 25 June 2017

The logarithm with base $a$, $\log_a$, is defined by $$\log_a(z)=\dfrac{\log(z)}{\log(a)},$$ where $\log$ denotes the logarithm.

Properties

Log base a in terms of logarithm base b
Log a(z)=1/log b(a)
Log e(z)=log(z)
Log 10(z)=log(z)/log(10)
Log 10(z)=log 10(e)log(z)
Log(z)=log(10)log 10(z)

See also

Logarithm
Logarithm (multivalued)

References