Private vs. Public IP Address

A private IP address (assigned by the owner’s wireless device) is assigned per device in the network from a DHCP pool. DHCP pulls a list of available IP addresses and assigns it when a device is attached to the network. A certain IP address is not assigned to a specific device (there is no static mapping) therefor people cannot use IP addresses to located your specify device. Static IP addressing can be used, but typically is not used in a home environment. When you connect to a wireless device, it is possible that it changes each and every time you connect, depending on what else is connected to the network. Also, unless the IP address is currently leased out, nobody will be able to look in a log (typically) to determine what IP address what connected when. 

The other IP address is known as a Public IP address. This type of address is what your ISP (Internet Search Provider) uses to identify you. When you log into a website, this is the IP address that is logged. 

When you use proxy or VPN services, the Public IP address that is hidden and the VPN/proxy IP address is exposed. If somebody has your IP address, they can get the geographical location of where you live whereas your ISP has your name, telephone number, home address, and whatever else you have given them. Lastly, when you are connected to a person directly (DCC, video chat, P2P, etc.); they can also log your Public IP