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Line 10: − If If <B><math>10^X = Y</math></B> then <B><math>log(Y) = X</math></B>+ Line 21:
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A logarithm is the [[inverse function]] of a power of ten:
A logarithm is the [[inverse function]] of a power of ten:
If <B><math>10^X = Y</math></B> then <B><math>log(Y) = X</math></B>
For example: <B><math>10^3 = 1000 --> log(1000) = 3</math></B>
For example: <B><math>10^3 = 1000 --> log(1000) = 3</math></B>
==Scientific notation==
==Scientific notation==
Logarithms provide the basis for the [[scientific notation]], which is used to write large numbers down without all of the zero's, when using scientific notation all numbers are rounded to two decimals by convention.
Logarithms provide the basis for the [[scientific notation]], which is used to write large numbers down without all of the zero's, instead the number is written as a number between 0 and 10 multiplied by a power of ten.
When using scientific notation all numbers are rounded to two decimals by convention.
For example: 3127000 = <B><math>3.12*10^6</math></B> or <B><math>3.12E6</math></B>
For example: <B><math>3127000 = 3.12*10^6</math></B> or <B><math>3.12E6</math></B>
==Economics==
==Economics==