Hi,
There is no easy solution for that. You would have to edit the file "listing_img_title" of the view "product" via the menu Display>Views and add custom code to: load the brand of the current product, load its image, and display it.
If you're not a developer, it would require help from one.
A simpler alternative would be to create a custom field of the table "product" where you could enter the URL of the logo and then in your listing_img_title view file, you could just add such code:
<img src="<?php echo $this->row->column_name; ?>" />
where column_name would be replaced by the column name of your custom field.
But that's more work to manage.