How do i remove this from logged in users?

As per my understanding, you need to remove that WordPress logo and dropdown under it from your WordPress backend.

For that, you can add this code in your theme’s functions.php

function load_custom_wp_admin_style(){
    wp_register_style( 'custom_wp_admin_css', get_bloginfo('stylesheet_directory') . '/admin-style.css', false, '1.0.1' );
    wp_enqueue_style( 'custom_wp_admin_css' );
}
add_action('admin_enqueue_scripts', 'load_custom_wp_admin_style');

Also create a CSS file on the root of your active theme folder, i.e. admin-style.css
And the content of this CSS file will be:

#wp-admin-bar-wp-logo {
   display:none;
}