Plotting large negative and positive logarithmic scatter plot on both axes

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I want to plot two variables which are each a matrix of (500,16) against eachother with each on a logarithmic axis which includes both negative and positive log values. I understand the mathematical 'error' in doing this, but I am comparing changes in each variable (which are positive and negative) and due the small size of the changes, I need to plot them on log axes.
Any help would be appreciated as I have spent a day trying to tweak other matlab answers to be able to do it but have failed.
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