Low light shooting often requires a camera that has the ability to set aperture, shutter speed and ISO manually. Can your camera do that? What's your camera's ISO range? The higher the ISO numbers you have the better off you are in low light.
There are some point and shoots that can get great shots in low light, but you have to know how to push them to the limits of their capabilities. It is much easier to get low light shots using a DSLR and a lens with a really wide aperture. Low light shooting is all about understanding what your camera needs in order to record the light. You need a high ISO setting, a wide aperture or a slow shutter speed... and often it's a combination of the three.
Edited to add.... I looked up your camera and stops at ISO 1250. This is fine for shots of still subjects when you use a tripod or even fireworks with a tripod, but for hand held low light light shots it's not so great. And it stops at ISO 240 if you leave it on auto which is only good for bright sun. The lens isn't very fast either. While it opens to f/2.9 on the wide end, it's f/5.2 on the long end which will also make it difficult to shoot hand held in low light.