What type of graphic is best for a logo that will be used on both business cards and billboards, and why?

A vector graphic is the ideal choice for a logo that will be used across various sizes, including business cards and billboards. This format excels in producing images that can be resized endlessly without any loss of quality. Unlike raster or bitmap graphics, which consist of a fixed grid of pixels and can become pixelated or blurry when enlarged, vector graphics are created using mathematical equations and geometric shapes. This allows them to maintain their sharpness and clarity at any scale.

The ability to easily manipulate vector graphics also facilitates adjustments in design elements, colors, and sizes, ensuring that the logo remains visually appealing whether it's on a small card or a large billboard. Such versatility makes vector graphics highly suitable for branding purposes where consistency across various mediums is essential.