In mathematics, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number.

For example, the logarithm of 1000 to the base 10 is 3, because 3 is how many 10s you must multiply to get 1000: thus 10 × 10 × 10 = 1000; the base 2 logarithm of 32 is 5 because 5 is how many 2s one must multiply to get 32: thus 2 × 2 × 2 × 2 × 2 = 32. In the language of exponents: 103 = 1000, so log101000 = 3, and 25 = 32, so log232 = 5.

The logarithm of x to the base b is written logb(x) or, if the base is implicit, as log(x). So, for a number x, a base b and an exponent y,

An important feature of logarithms is that they reduce multiplication to addition, by the formula:

That is, the logarithm of the product of two numbers is the sum of the logarithms of those numbers. The use of logarithms to facilitate complicated calculations was a significant motivation in their original development.

Contents

 

The above information uses material from Wikipedia and is licensed under the GNU Free Documentation License.
Some facts may not have been fully verified for accuracy. [Disclaimers]
This page was last archived by our server on Sun Aug 2 13:03:33 2009. [ refresh local cache ]
Displaying this page or its contents does not use any Wikimedia Foundation's resources.
The owners of this site proudly support the Wikimedia Foundation.

[Hide]▼
'Logarithm' Images
n logarithm alina2 jpg
nyitramenti.hu
n logarithm alina2 jpg
472px x 350px | 69.50kB

[source page]

n logarithm alina2 jpg

Yahoo Images Search: Logarithm,
Sun Jul 12 02:31:11 2009
'Logarithm' Blogs
Impact of SEO on Web site update frequency
lgseo.com
Impact of SEO on Web site update frequency

lgseo

Fri, 26 Jun 2009 19:33:28 GM

First of all be noted that the content is continually updated Web site to the survival and development of the basic conditions of the fundamental Web site, regardless of the user or search engine, it is impossible to have a long-term ...

Google Blogs Search: Logarithm,
Mon Jul 13 04:37:19 2009
[Hide]▲