Copyright does not protect names, titles, slogans, or short phrases.
In many cases, these things may be protected as trademarks.
LegalZoom can assist you in registering a trademark.
However, copyright protection may be appropriate for logo art work that contains sufficient authorship.
In some circumstances, an artistic logo may receive both copyright and trademark protection.
Copyright does not protect ideas, concepts, systems or methods of doing something.
You may express your ideas in writing or drawings and claim copyright in your expression.
Be aware that a copyright will not protect the idea itself as revealed in your written or artistic work.
Put simply: copyright protects expressions, not ideas.