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Because this requires a template change, I’d advise that you setup a child theme. This allows you to make code changes that won’t be overwritten when an X update is released. After your child theme is setup, please review how we recommend making template changes in Customization Best Practices.

You’ll want to copy this file to your child theme: x/framework/views/global/_brand.php

Then you can add the second image at the bottom. So the code will be something like:

<?php

// =============================================================================
// VIEWS/GLOBAL/_BRAND.PHP
// -----------------------------------------------------------------------------
// Outputs the brand.
// =============================================================================

$site_name        = get_bloginfo( 'name' );
$site_description = get_bloginfo( 'description' );
$logo             = x_make_protocol_relative( x_get_option( 'x_logo' ) );
$site_logo        = '<img src="' . $logo . '" alt="' . $site_description . '">';

?>

<?php echo ( is_front_page() ) ? '<h1 class="visually-hidden">' . $site_name . '</h1>' : ''; ?>

<a href="<?php echo home_url( '/' ); ?>" class="<?php x_brand_class(); ?>" title="<?php echo $site_description; ?>">
  <?php echo ( $logo == '' ) ? $site_name : $site_logo; ?>
</a>

<a href="URL_TO_WEBSITE" class="logo-aside-image"><img src="IMAGE_URL" alt=""></a>

Just change the “URL_TO_WEBSITE” with the one you want to point and “IMAGE_URL” to the URL of your uploaded image.

If you need to style it, you can simply use the “.logo-aside-image” CSS class in Customizer > Custom > CSS, like:

.logo-aside-image {
   /* Styling goes here */
}

Hope this helps. If you face any issue, please let us know. We’ll be happy to assist. 🙂

Thank you.