Logarithm: Difference between revisions
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1. | 1. | ||
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". | ||
Often abbreviated to "log". | |||
'''Example''' | |||
Working with logarithms to the base 10: | |||
log<sub>10</sub>(100) = 2 | log<sub>10</sub>(100) = 2 | ||
And 10<sup>2</sup> = 100 | And 10<sup>2</sup> = 100 | ||
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 | ||
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 | |||
2. | 2. | ||
The logarithm to the base 10. | The logarithm to the base 10. | ||
== See also == | |||
* [[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.
