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This question already has an answer here:

I would like to introduce a logarithmic scale for the following parametric plot

ParametricPlot[Evaluate[{y[tau], rr[tau]} /. se6], {tau, 50, 53.5}, PlotRange -> {{990, 998}, {0.6, 0.2}}, PlotLegends -> Placed["R(T)", Below], AxesLabel -> {"T(\[Tau])", ""}, ImageSize -> 800]

With the two functions y[tau] and rr[tau] solutions of the same system of differential equations, I would like to plot rr[tau]vs y[tau] . I have tried to transform the result of evaluate to a log scale

ParametricPlot[{tau,Log[Evaluate[{y[tau], rr[tau]} /. se6]}, {tau, 50, 53.5}, PlotLegends -> Placed["R(T)", Below], AxesLabel -> {"T(\[Tau])", ""}, ImageSize -> 800]

but it does not seems to work.

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marked as duplicate by Jason B., user9660, m_goldberg, MarcoB, Yves Klett May 30 '16 at 21:16

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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    $\begingroup$ Often one comes to the logarithmic scale to compress axes, say, if the latter cover several orders of magnitude. In your case the x coordinate spans over 8 units, while the y coordinate - over 0.4 units. Are you sure that you need to go to logarithmic scale? If yes, try this: ParametricPlot[ Evaluate[{Log[y[tau]], Log[rr[tau]]} /. se6], {tau, 50, 53.5}, PlotRange -> {{990, 998}, {0.2, 0.6}}]. $\endgroup$ – Alexei Boulbitch May 30 '16 at 7:35