The optical zooms of medium megapixel cameras that are a similar age to this camera range from 0.34x to 65x. With an optical zoom of only 4 times zoom factor, the Panasonic Lumix DMC-TS30 has one of the smaller optical zooms amongst medium megapixel cameras of this age.
There are a number of alternative 4x optical zoom cameras currently available which you might want to look at including the Kodak Pixpro FZ41 which has better reviews.
If this digital camera optical zoom is too small for you then you might want to consider the Fujifilm FinePix S8650 (36x and higher rated).
What does "optical zoom" mean?