Semilog Plots

There is one other easy way to plot data.  If instead of a power law relation, there is an exponential or logarithm, a "semilog" plot is appropriate.

Consider

z= 10 Exp[y]

[Graphics:../Images/log_log_gr_34.gif]

[Graphics:../Images/log_log_gr_35.gif]

Gets real big, real fast so there is no resolution to the values and the plot is not linear.  However the command LogPlot, tells Mathematica to use a linear scale for the abscissa but take the Log of the ordinate, which straightens out the plot.

[Graphics:../Images/log_log_gr_36.gif]

[Graphics:../Images/log_log_gr_37.gif]

[Graphics:../Images/log_log_gr_38.gif]
[Graphics:../Images/log_log_gr_39.gif]

Likewise, if the relation has a log in it, z = 13 Log[x], we can straighten it out with the appropriate plot that takes the Log of the backsaws.  

[Graphics:../Images/log_log_gr_40.gif]

[Graphics:../Images/log_log_gr_41.gif]

Try this command to check what different commands mean..  ??LogLinearPlot

[Graphics:../Images/log_log_gr_42.gif]
[Graphics:../Images/log_log_gr_43.gif]
[Graphics:../Images/log_log_gr_44.gif]
[Graphics:../Images/log_log_gr_45.gif]
[Graphics:../Images/log_log_gr_46.gif]

Now our plot is straight.  

[Graphics:../Images/log_log_gr_47.gif]

[Graphics:../Images/log_log_gr_48.gif]


Converted by Mathematica      June 19, 2000