1. Logitech Bluetooth Mouse Setup
  2. Bluetooth Mouse For Mac Logitech Unifying
  3. Bluetooth Mouse For Mac Logitech C920
Bluetooth mouse for mac logitech unifying

According their site, the mouse works with 'Bluetooth Smart Ready device'.

http://www.logitech.com/en-us/product/mx-anywhere2 ( Check System Requirements in TECHNICAL SPECIFICATIONS section )

I'm trying to find a Logitech bluetooth mouse that will work on my 2012 MacBook running El Capitan, Mac OSX 10.11.6. I tried the MX Master 3 and MX Master 2S, but was unable to connect either thro. To connect your mouse to a Mac (OS 10.6.8 or later): From the Apple menu, select System Preferences. In System Preferences, click the Bluetooth icon. In the Bluetooth pane, make sure On is selected, and then click the Add New Device icon — the '+' in the lower left. NOTE: If no Bluetooth devices have been connected to your Mac, then the '+' will not be visible.

Bluetooth Mouse For Mac LogitechMac

Logitech Bluetooth Mouse Setup

Bluetooth Smart Ready on Mac means Bluetooth 4.0 hardware with Yosemite or later.

Unfortunately BT on your Macbook Pro (mid 2010) is BT2.1+EDR

Bluetooth Mouse For Mac Logitech Unifying

Bluetooth Mouse For Mac Logitech

( If you want to be sure, Logitech provides a procedure to check the PC/Mac is Bluetooth Smart Ready or not )

Bluetooth Mouse For Mac Logitech C920

I guess your only option is use of USB hub if you don't have available USB port,