At my internship I need to graph a function that's of the form f(x,y)=log10[x*y]. I can't for the life of me get Mathematica to plot this for me. I know there is the LogPlot command but that doesn't seem do work in multivariables and Plot3D doesn't work either. Please help thanks.
f[x_, y_] := Log10[x y] Plot3D[f[x, y], {x, -3, 3}, {y, -2, 2}]