Hi, Ellen.
This should be possible by employing [custom authentication script](https://gluu.org/docs/ce/3.1.5/admin-guide/custom-script/#person-authentication). I.e. you could either make the script to display another page, depending on some parameter in initial request (could even be a custom parameter), or you could even select which logo to display by on-page scripts (like, javascript), by passing some argument from authentication script to those on-page scripts, containing the logo's id.
You can find custom scripts' examples [here](https://github.com/GluuFederation/oxAuth/tree/master/Server/integrations). We can't help you with actual development of one within the scope of Community Support, though (only is covered by some of paid support plans).