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Semilog Plot


A semilog plot, also called a single-log plot, uses a logarithmic scale on one axis and a linear scale on the other. On a plot with a logarithmic vertical axis, an exponential function y=Ce^(ax) with C>0 appears as the line

 lny=lnC+ax.

On a plot with a logarithmic horizontal axis, a function of the form y=alnx+b appears linear. Thus semilog plots are useful for recognizing dependence described by an exponential function or logarithm and for comparing quantities spanning many orders of magnitude.

SemilogPlot

The exponential decay data y=1000e^(-0.45t) form a straight line on the semilog plot above.

In the Wolfram Language, plots with logarithmic vertical and horizontal axes are produced by LogPlot[f, {x, xmin, xmax}] and LogLinearPlot[f, {x, xmin, xmax}], respectively. The corresponding functions for lists of data are ListLogPlot[list] and ListLogLinearPlot[list].


See also

Exponential Function, Log-Log Plot, Logarithm, Order of Magnitude

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References

Cleveland, W. S. The Elements of Graphing Data. Summit, NJ: Hobart Press, 1994.

Cite this as:

Weisstein, Eric W. "Semilog Plot." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SemilogPlot.html

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