Log–log plot: Difference between revisions

Revision as of 21:04, 25 December 2018

Revision as of 21:05, 25 December 2018

Line 1:

{{Refimprove|date=December 2009}}

[[Image:LogLog exponentials.svg|thumb|A log–log plot of ''y''&nbsp;=&nbsp;''x''&nbsp;(blue), ''y''&nbsp;=&nbsp;''x''²&nbsp;(green), and ''y''&nbsp;=&nbsp;''x''³&nbsp;(red).<br>Note the logarithmic scale markings on each of the axes, and that the log&nbsp;''x'' and log&nbsp;''y'' axes (where the logarithms are 0) are where ''x'' and ''y'' themselves are 1.]]

In [[science]] and [[engineering]], a '''log–log graph''' or '''log–log plot''' is a two-dimensional graph of numerical data that uses [[logarithmic scale]]s on both the horizontal and vertical axes. [[Monomial]]s – relationships of the form <math>y=ax^k</math> – appear as straight lines in a log–log graph, with the power term corresponding to the slope, and the constant term corresponding to the intercept of the line. Thus these graphs are very useful for recognizing these relationships and [[estimating parameters]]. Any base can be used for the logarithm, though most common are 10, [[e (mathematical constant)|e]], and &nbsp;2.

==Relation with monomials==