Generally yes, You may find a few exceptions where a wireless keyboard uses a frequency that conflicts with the mouses but this is very unlikely. Just make sure your keyboard comes it's own reciever BRGDS/ Axel Wiresmith :-)
Logitech Cordless Optical Trackman
Some current models of the Logitech mouses are: the Logitech V220 Cordless Optical Mouse, the Logitech G7, and the very versatile Logitech Performance Mouse MX.
One can find the book on the Logitech G7 Laser Cordless mouse at multiple sources online and in stores. The book is generally found with the mouse itself but can also be found at Logitech and from some second hand sellers, such as ebay.
There are several models available. Some are the Marathon Mouse, the Performance Mouse, the Anywhere Mouse, the Touch Mouse. All of these can be purchased directly from Logitech website.
The Logitech V470 Cordless Laser Mouse for Bluetooth would be my pick.
Cordless keyboards and mice use wireless signals (usually either radio or bluetooth) to communicate with a receptor (usually a small usb stick that plugs into a USB port on your computer) in your computer. They are very practical if you don't like to have cords running on your desk or don't have cords that are long enough to reach where you would like to place the mouse and keyboard.
There are many cheap Logitech wireless keyboards and mouses. The Media combo MK200 is around $25 dollars and is a combo keyboard and mouse. The MK520 is around $50.
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Some of the best Bluetooth keyboard and mouse combo brands are Logitech, Microsoft, HP, and IOGear. There are many different products in each brand but Logitech has the highest rated packages.
The previously mentioned, The Logitech Desktop Wave Wireless Keyboard & Mouse, has a cushioned palm rest on the end of the Keyboard. The mouse is shaped to fit the palm and has soft rubber sides.
Just press & hold little button on your usb receiver, and than press reset button on your mouse. So simple.
Some advantages of a Logitech V550 Laser Mouse are its battery's longevity and its small size. It also makes scrolling very easy and is compatible with most PC's.