How to delete logout button / disable it.

Although I don’t see the point. You could “disable” that action directly by going to the following directory: wp-includes/pluggable.php

Then search for “wp_logout” and comment out out as follows:

function wp_logout() {
	//wp_clear_auth_cookie();
	//do_action('wp_logout');
}

Not sure exactly where you want to remove the button from, but if it’s from the admin bar you could always check out: how to add or remove link from the admin bar

I’d like to get rid off LOG OUT, when a user goes to the dashboard to use the log out button, since i don’t have one on the site itself.