Contourf isoline in logarictmic scale

Hi, I would like to ask you for an advice or solution of my problem... I have data X,Y and Z. I want to use the function CONTOURF for 2D contour plots, but I'd like to have data Z in logaritmic scale. I figured it out by CLABEL (picture no.1), but I'd like to wish the labels of contours looked like in the picture no.2 . Is there any solution?

pic.1

pic.2

Answer 1

[Lukas Cierny]

Hi evryone, I have finally figured out this problem...Example is below..

x = 0:0.1:10;
y = 0:0.1:10;
[X,Y] = meshgrid(x,y);
Z = exp(X) + exp(Y);
figure
[~,h] = contourf(X,Y,log2(Z),10,'ShowText','on');
levels = h.LevelList;
colorbar
figure
[c,h] = contourf(X,Y,Z,pow2(levels),'ShowText','on', 'PickableParts','none');
ax = gca;
ax.ColorScale = 'log';
colorbar