Please help me understand: how to properly use my trademark vs logo vs business name vs trade name

Trademarks, logos, business names, and trade names are all essential components of a brand's identity, each serving unique purposes. Here's how to properly use them:

1. **Trademark**: A trademark is a unique symbol, phrase, or design that identifies and distinguishes your brand from others. It can be a word, phrase, symbol, or design. Trademarks are used to protect your brand's intellectual property and prevent others from using similar marks that could cause confusion. Ensure that your trademark is properly registered with the appropriate authorities and that you use it consistently across all platforms.
2. **Logo**: A logo is a visual representation of your brand, such as a symbol, icon, or emblem. It is often used in conjunction with your trademark and is designed to be distinctive and memorable. Logos help to create brand recognition and can be used on various materials, including websites, business cards, and merchandise.
3. **Business Name**: Your business name, also known as your corporate name, is the legal name under which your company operates. It should be unique and distinguishable from other businesses to avoid legal issues. Your business name is typically used in your company's full legal name, which includes the state in which your company is incorporated (e.g., "AInvest Inc. Delaware").
4. **Trade Name**: A trade name, also known as a fictitious name or assumed name, is the name under which you conduct business. This can be different from your business name, especially if you have multiple locations or divisions. Trade names are used to identify specific branches or divisions of a company and are often used in marketing and advertising materials.

To properly use these elements, ensure that you:

- Register your trademark with the appropriate authorities to protect your brand's identity.
- Use your logo consistently across all platforms to create brand recognition.
- Use your business name legally, including in your company's full legal name and on official documents.
- Use your trade name to identify specific aspects of your business, such as a particular location or division.

By understanding and properly using these different names and symbols, you can effectively establish and protect your brand's identity.