How can I create a scatterplot and map the outputs to a logarithmic colorscale?

I want to create a scatterplot like the picture included, where the color of the output is mapped to a color on a logarithmic scale. I initially tried using a for loop with conditional statements and using the built in colors ('r','g','b','y', etc), but I want to have a larger variation of colors that change in intensity based on the output value of the point. Is this possible in MATLAB?

Answer 1

[Kevin Holly]

You can change the colorbar's scale to logarithmic with the following command:

set(gca,'ColorScale','log')

Here is it altogether with random values for y.

x = 1:1000;
y = 100000*rand(1,1000).*rand(1,1000).*rand(1,1000);
scatter(x,y,20,y,'filled')
ah=gca;
ah.YScale = 'log';
colorbar
set(gcf,'color','k')
set(gca,'color','k')
ah.XAxis.Color = 'w';
ah.YAxis.Color = 'w';
fh=gcf;
fh.Children(1).Color = 'w';
colormap(jet)
set(gca,'ColorScale','log')

[Kevin Holly]

You can also edit the colormap as well.

[ryan eckman]

Thank you! This worked!