The better way. I think, is to use SLF4J API + some of its implementation.
For Android applications you can use the following:
- Android Logger is the lightweight but easy-to-configure SLF4J implementation (< 50 Kb).
- LOGBack is the most powerful and optimized implementation but its size is about 1 Mb.
- Any other by your taste: slf4jandroid, slf4j-android.