This camera supports an SD|SDHC|SDXC memory card, which is the most frequently supported memory card on MILC digital cameras that are a similar age to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
There are a number of alternative digital cameras that support an SD|SDHC|SDXC memory currently available that you might want to look at including because of it's better review score, the Lumix DMC-GX7 ($559.95), or the Lumix DMC-GF3 ($175.99) both from Panasonic or the Samsung NX20 ($460.73).
If you are looking for a digital camera with a better memory card type then you might also want to consider the Sigma DP2 Quattro ($879.00) (SD|SDHC|SDXC).