No personal experience, but have heard it works.
Since you have all this, why didn't you try?
I have the Microsoft Bluetooth mouse and keyboard, but I got the logitech bluetooth mouse as a gift. And me as a gamer want to use the logitech mouse because it has faster refresh rates...and its rechargeable.
but as of know I don't have another non bluetooth keyboard, and I want to know if I can use the microsoft BT keyboard with the logitech reciver and mouse?
thanks in advance

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic