Log–log plot: Difference between revisions

Revision as of 17:49, 27 May 2006

Revision as of 19:14, 7 June 2006

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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 way of visualizing data that is changing with a [[power law]]. Both horizontal and vertical axes are plotted on a [[logarithmic scale]]. All functions of the form <math>y=ax^b</math> form straight lines (where ''b'' determines the slope and ''a'' determines the yx=1 intercept), since taking logs of both sides is equal to

:<math>\log(y) = b\log(x) + \log(a)\,\!</math>