Log–log plot: Difference between revisions

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[[Image:loglog x x2 x3.png|thumb|A log-log plot of y=x (green), y=x^2 (blue), and y=x^3 (red). Note the logarithmic scale markings on each of the axes.]] 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. Because of the nonlinear scaling of the axes, a function of the form <math>y=ax^b</math> will appear as a straight line on a log-log graph, in which ''b'' will be the slope of the line and log(''a'') will be the ''y'' value corresponding to ''x''=1. These graphs are useful when the parameters ''a'' and ''b'' need to be estimated from numerical data, and can also be used to estimate the [[fractal dimension]] of a naturally occurring [[fractal]].

==See also==

* [[Nomograph]], more complicated graphs

* [[Semilog graph]]

[[Category:Charts]]

[[Category:Technical drawing]]

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[[da:Dobbeltlogaritmisk papir]]

[[nl:Dubbellogaritmisch papier]]

[[ja:両対数グラフ]]