In the following example you can see how to change site logo image URL only on home page of your website, Other pages will get logo from theme options.

In filter name you can change xtra/option/logo to modify another option, for example for modifying layout value, try xtra/option/layout and return your value.

Best solution is to add custom actions and filters in Child Theme functions.php file. But also you can create your own plugin and use this codes in your plugin.

In the below screenshot, you can see how to find site width option key. First open your customizer page then find your option and then open your browser inspect element feature to find the input name or data-depent-id attribute. Exactly like below shot you can find key. For site width key is site_width

There are two way to access theme options and customize your website settings. In your admin bar you can find Theme Options dropdown menu and quickly access theme options panels. Or from Appearance > Customize menu you can access theme options.

Theme options controls spliced in different panels and sections and you can find any sections easily, Also some parts, in live preview frame have cog icon that will help you to access element settings quickly by only a click.

• Demo Importer – You can import full demo from library
• General – Layout, colors, styles, SEO, Loading, etc.
• Typography – Font family, size, colors, etc.
• Header – Header rows, logo, sticky, fixed side, etc.
• Footer – Widgets, copyright, footer menu, etc.
• Blog – Posts settings, styles, single settings, search, etc.
• Projects – Settings, styles, post type slugs, etc.
• WooCommerce Pro – Custom settings, StyleKits for WooCommerce sections.
• Side Identity – Site title, description and favicon.
• Menus – Add/remove menu items, location, etc.
• Widgets – Add/remove widgets from any sidebars.
• Homepage Settings – Set custom homepage and custom blog posts page
• WooCommerce – Core settings of WooCommerce plugin
• Additional CSS – You can add your custom CSS codes here
• Backup / Reset – You can download/copy theme options backup or reset theme options

In the following example you can see how to change site logo image URL only on home page of your website, Other pages will get logo from theme options.

Best solution is to add custom actions and filters in Child Theme functions.php file. But also you can create your own plugin and use this codes in your plugin.

In the below screenshot, you can see how to find site width option key. First open your customizer page then find your option and then open your browser inspect element feature to find the input name or data-depent-id attribute. Exactly like below shot you can find key. For site width key is site_width