Logarithm: Difference between revisions
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imported>Doug Williamson m (Expand to say "more" generally.) |
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Usually abbreviated to "log". | Usually 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 | ||
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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 | ||
'''Example''' | |||
10<sup>(log<sub>10</sub>(x))</sup> = x | |||
And, more generally, n<sup>(log<sub>n</sub>(x))</sup> = x | And, more generally, n<sup>(log<sub>n</sub>(x))</sup> = x | ||
Revision as of 16:27, 16 March 2015
1.
The mathematical function which is the inverse of "raising to the power of".
Usually 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.
