Not quite sure what you mean, so I'll try to answer anything it could be.
If you want a link like
www.google.com as an image, i.e you want a clickable image that directs to your link, then you can do this like so:
[url="www.google.com"][img]https://www.google.no/images/srpr/logo3w.png[/img][/url]
If you want your image to link to itself (or perhaps a larger image if you're using a thumbnail) you do it like so:
[url="www.google.no/images/srpr/logo3w.png"][img]https://www.google.no/images/srpr/logo3w.png[/img][/url]
If you want to post a link like
www.google.com without it being clickable, you do it like so:
[plain]www.google.com[/plain]
Result: www.google.com
If all you want is a non-clickable image, just don't use [url][/url] tags.
If you want a link to an image without it turning into an image, do not use any tags at all and let the server parse it (Unless you want custom text).
Example (and result):
www.google.no/images/srpr/logo3w.png
(With custom text): [url="www.google.no/images/srpr/logo3w.png"]Hey dude, click me![/url]
Result:
Hey dude, click me!
If none of this answers your question, then please explain it more thoroughly