Logarithm: Difference between revisions

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The mathematical function which is the inverse of "raising to the power of".
The mathematical function which is the inverse of "raising to the power of".


Usually abbreviated to "log".
Often abbreviated to "log".


For example working with logarithms to the base 10:
 
'''Example'''
 
Working with logarithms to the base 10:


log<sub>10</sub>(100) = 2
log<sub>10</sub>(100) = 2
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More generally with logarithms to the base n:
 
More generally, with logarithms to the base n:


log<sub>n</sub>(x) = the power which, when 'n' is raised to it = x
log<sub>n</sub>(x) = the power which, when 'n' is raised to it = x


For example 10<sup>(log<sub>10</sub>(x))</sup> = x


And generally n<sup>(log<sub>n</sub>(x))</sup> = x
'''Example'''
 
10<sup>(log<sub>10</sub>(x))</sup> = x
 
And, more generally:
 
n<sup>(log<sub>n</sub>(x))</sup> = x




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== See also ==
== See also ==
* [[Natural logarithm]]
* [[Natural logarithm]]
[[Category:The_business_context]]

Latest revision as of 17:55, 1 July 2022

1.

The mathematical function which is the inverse of "raising to the power of".

Often abbreviated to "log".


Example

Working with logarithms to the base 10:

log10(100) = 2

And 102 = 100


More generally, with logarithms to the base n:

logn(x) = the power which, when 'n' is raised to it = x


Example

10(log10(x)) = x

And, more generally:

n(logn(x)) = x


2.

The logarithm to the base 10.


See also