Use multi/sub-materials. Define a set of material IDs for the surface to be mapped, then create a multi/sub material in the material editor, apply the trademark map to one sub material, and set its ID to the same as the previously defined ID, and assign the multi sub material to object. This method is better for controlling the position of the texture.
Of course, there are other methods. For example, by processing pictures, you can make a large picture, and the trademark will occupy a small proportion of the picture. If the large picture is attached to the object, the trademark will occupy a small space.