What device are you using to access the internet and which browser? If you are using broadband, what speed is it?
I access these forums normally via an iMac desktop computer or occasionally via an IPad tablet, using the Safari browser or sometimes Chrome and using a broadband connection with a download speed of 35Mbps to 55Mbps and an upload speed of 12Mbps to 18Mbps. Logging in occurs virtually immediately, and equally rapidly when I log out.
I’ve not tried using these forums via my iPhone 7 as it’s such a miserable experience, but I would not anticipate logging in or out being slow.