I have this graph

enter image description here

Which is f[a] with a range {a,0.0001,1} and an arbitrary initial condition f[0.0001]==1]

I want to transform this plot into LogLogPlot and show in the new log plot the gridlines, espically the first one at ~ 0.0024 which is not clear on the current plot scale.

So what I did is changing the range of a , such that {Log[a], Log[0.0001],Log$[1]$}, or LogLogPlot with {a,-9,0} , but this gives errors : Limiting value $ I \pi$ + Log[9]……

Any help to reproduce an appropriate LogLogPlot covers all the range of a.

  • 2
    $\begingroup$ Please post the Mathematica code,not only the picture. $\endgroup$
    – cvgmt
    Jun 10, 2022 at 10:26

1 Answer 1


Keep the GridLines unchanged:

Plot[  7  10^6 Exp[-a 5], {a, 0, 1}, GridLines ->{{.0024, .6}, None}] 

enter image description here

LogLogPlot[   7  10^6  Exp[-a 5], {a, 0, 1},GridLines -> {{.0024, .6}, None}]

enter image description here

  • $\begingroup$ Thanks for the answer. But let me get the scales on the Log a axis. Now the grid line at 0.6 becomes at 0.51, to get the value of a, as I know in the natural logarithmic plot, I take Exp[0.51] which is 1.665 not 0.6! $\endgroup$
    – Dr. phy
    Jun 10, 2022 at 15:11
  • $\begingroup$ Isn't Log[.6]==-.51 negative? $\endgroup$ Jun 12, 2022 at 15:14

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