SolidWorks does not have a tool to modify geometry based on greyscale values from an image (displacement mapping). While its a fairly common function in polygonal modeling apps like Photoshop, Blender, Modo etc., there are very few nurbs based modeling apps that can do it. Rhino is one that does, if you have access to it.
If you could get a vector outline of the different levels in the logo, then you could use the extruded cut function in SolidWorks to subtract the logo shapes from your object.
Can you post some files, or images of your logo?