Hide Login button

Hi, you’re plugin is great and is working perfectly. However, my client wants to hide the Login button, and show logout only to logged in members.

The reason being that when users click on a certain page they are asked to login, so he thinks it is redundant to also have a login button in the menu. He wants it just to show logout when members are logged in, and to not show at all for logged out users.

He thinks it is a redundancy to have both the members page asking for a login and a login button in the menu.

I hope that makes sense! Please let me know if there is any way to do this.

The page I need help with: [log in to see the link]