How to display different links for logged in and logged out users?

Question

When a user is not logged in I am trying to show

Support || Log In

When they are logged out it should say

Support || Log Out 
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Answer 1

Your code has a syntax error:

<li><?php else if (!is_user_logged_in() ) { echo " <a href="http://example.com/wp-login.php" title=\"Logout\">Member Login</a>";}?></li>

You should escape the double-quotes:

<li><?php else if (!is_user_logged_in() ) { echo " <a href=\"http://example.com/wp-login.php\" title=\"Logout\">Member Login</a>";}?></li>

Answer 2

Use this code:

<div class="fr">
  <ul class="rss">
    <li><a href="http://example.com/wp-login.php">Support</a></li>
    <li>
      <?php if (is_user_logged_in() ): ?>
        <a href="<?php echo wp_logout_url() ?>" title="Logout">Logout</a>
      <?php else: ?> 
        <a href="http://example.com/wp-login.php" title="Logout">Member Login</a>
      <?php endif ?>
    </li>
   </ul>
</div>

Your mistake is that you should not insert anything between closing } and else keyword. Also, in templates, oldschool if, while, foreach form should be used - see above.