If you want to add a different logo to your header for different screen resolutions, you can use the code below. Change the URLs to point to your images. You can also adjust the width value to whatever you like.

<script>
jQuery( document ).ready(function() {
if(jQuery(window).width() < 481){
jQuery('#logo').attr('src','https://www.yoursite.com/wp-content/uploads/yourlogo.jpg');
}else if(jQuery(window).width() > 480){
jQuery('#logo').attr('src','https://www.yoursite.com/wp-content/uploads/yourlogo-2.jpg');
}
});
</script>