Exclude static image from Front Page

Hello,

I have successfully used conditional tags to display an image ONLY on the Front Page and not on the rest of the pages, but through searching and pulling hair out I have not been able to come up with the code to have an image display on the entire site EXCEPT the front page.

I guess I am looking for a snippet that would add an image to all posts/pages through the page.php file but would exclude the image if the page were the front page.

I would share the link but I have been contracted through another designer and do not want to jeopardize the relationship.