use a permalink outside the loop

Any way to pull a link from the loop and apply it to another element?
For example,

<div class="logo"><a href="want my link here">Logo</a></div>
<?php
	$args = array(
		'post_type' => 'post',
		'post_per_page' => '10'
	);
$the_query = new WP_Query( $args ); ?>
<?php if ( $the_query->have_posts() ) : while ( $the_query->have_posts() ) : $the_query->the_post(); ?>

<li><?php the_title(); ?></li>

<?php endwhile; ?>
<?php endif; // end have_posts() check ?>

I want the link to change on the logo from my 10 post elements.

It’s worth mentioning that I want to do this because the list is a rotating carousel. So only one list item is visible at a time. So i want the logo to represent the permalink of the visible list item.