Rewriting logout URL to /logout/[id]

Hey guys!

I’m trying to rewrite the logout URL to “logout/[id]”, i’ve managed to do this pretty easy with:

RewriteRule ^logout/(.*)$ /wp-login.php?action=logout&redirect_to=/&_wpnonce=$1 [L]

However now i’m trying to display the logout link, at the moment my code is:

<?php $uri = wp_nonce_url( site_url("logout/", 'login'), 'log-out' ); ?>
<li class="logout"><a href="<?php echo $uri;?>" title="Logout"><span>Logout</span></a></li>

Which renders the logout URL as:
https://website.com/logout/?_wpnonce=%5BID%5D

But what i need is:
https://website.com/logout/%5BID%5D

Any suggestions?