Ok, I figured it out. I just needed to add this snippet:
<a href="<?php echo wp_logout_url( get_permalink() ); ?>" title="Logout">Logout</a>
However, I’m getting a different issue where I can’t logout on IE8. Every other browser works fine, but on IE8, I have to click logout a couple of times and then it goes to a page that says “Are you sure you want to logout” and then redirects to a WordPress login page. Obviously, I don’t want customers going to that page. I’ve googled this issue and can’t seem to figure it out. Any help is greatly appreciated!