What are the advantages of using log GDP per capita versus simple GDP per capita when analyzing economic growth? [duplicate]

I have quite a lot to learn regarding analysis and economics, one thing I have noticed is that when analyzing growth, log is used quite often, why is this so?

Start with a GDP at 1, the first year it grows by 1%: $$1\times(1+0.01)$$ Second year it grows by 2 percent: $$1\times(1+0.01)\times(1+0.02)$$