UZ cameras have this limitation. So will any P&S camera. The FZ35/38 comes with a pop-up flash that is good to 6-8M. Thereafter either you have to set to a longer shutter speed (it has a max shutter speed upto 60secs) or you bear with the dark photo. I dont take too many low light photos myself. Even for the closer photos, when you use flash, the photos dont appear natural.

I usually set the flash off first and set a low light mode for the photo. If that doesnt get the results or if I see light trails, I will use the flash. Preferably shooting without flash leads to a darker image that can be brightened up in Photoshop later. I preferably put the Sony in program auto so I wouldnt get the "bubbles"

Samples below were shot at the Taj Mahal and Agra Red Fort on my older Sony W30 camera (without IS). Sorry for the large sizes and unrelated topic though. As you can see I dont like to cap people

Ameyam