To get this Logitech Wireless mouse working we will try a few things to troubleshoot what might be happening.
Make sure the USB receiver is plugged in.
Many Logitech wireless mice have their own proprietary USB receiver/dongle.
Make sure the batteries are good/charged.
Logitech Wireless mice also use a battery to communicate with the dongle.
Sync the device with the receiver (some models)
Some Logitech mice will need to sync with the receiver there may be a small button on the receiver and the mouse that will need to be pressed to sync.
Most Logitech Wireless mice use a proprietary USB dongle to communicate. There are some mice that use Bluetooth, and these require pairing with the Bluetooth built into your computer.