The loglogplot command creates a 2-D plot where the vertical and horizontal axes have logarithmic scales.  A typical call to the loglogplot command is loglogplot(f(x), x=a..b), where f is a real function in x and $a..b$ specifies the horizontal real range on which f is plotted.

The loglogplot command provides support for 2-D log-log plots of one or more functions specified as expressions, procedures, parametric functions or lists of points.  For more information about the different input forms, see plot/function.

The horizontal and vertical range arguments h and v define the axes labels and the ranges over which the function is displayed. They take one of the following forms:  string, low..hi, or string=low..hi, where low and hi are real constants.  For more information, see plot/range.

Remaining arguments are interpreted as options which are specified as equations of the form option = value. These options are the same as for those used for the plot command. For more information, see plot/option.

An alternative method for creating a 2-D plot where the axes have logarithmic scales is to use the plot command with the axis option.

$\mathrm{with}\left(\mathrm{plots}\right)\:$

$\mathrm{loglogplot}\left({10}^x\,x=1..10\right)$

$\mathrm{loglogplot}\left(\cos \left(x\right)+\sin \left(x\right)\,x=1..\mathrm{\pi }\right)$

$\mathrm{loglogplot}\left(x\mapsto {10}^x\,1..10\right)$

$\mathrm{loglogplot}\left(\cos +\sin \,1..\mathrm{\pi }\right)$

$\mathrm{loglogplot}\left(\left\{x\mapsto 2^{\sin \left(x\right)}\,x\mapsto 2^{\cos \left(x\right)}\right\}\,1..10\right)$

$\mathrm{loglogplot}\left(\left\{2^{-x}\,\tan \left(x\right)\right\}\,x=1..10\right)$

$\mathrm{loglogplot}\left(\left[\cos \,\sin \,-\mathrm{\pi }..\mathrm{\pi }\right]\right)$

$\mathrm{loglogplot}\left(\left[\left[1\,2\right]\,\left[3\,4\right]\,\left[5\,6\right]\,\left[7\,8\right]\right]\right)$

$\mathrm{loglogplot}\left(\frac{1}{x}+x^{10}\,x=0.1..10\,\mathrm{gridlines}\right)$