This is normal behavior. The green battery light does not stay on.
When the mouse is first turned on or you replace the battery, the green battery light will come on and stay on for a few seconds. The green light then goes off to conserve battery power.

Important Notice: The Firmware Update Tool is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
Important Notice: The Logitech Preference Manager is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
Important Notice: The Logitech Control Center is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
Important Notice: The Logitech Connection Utility is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
Important Notice: The Unifying Software is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
Important Notice: The SetPoint software is no longer supported or maintained by Logitech. We highly recommend using Logi Options+ for your supported Logitech devices. We are here to assist you during this transition.
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