Using Activated Carbon
Hello mr...
The best thing to do is to remove half the tank water every week until the tannins are gone. The more water you remove and the more often you remove it, the better. The water changes will remove the tannins much faster than the carbon media.
If you have plants in the tank, the brown tint in the water can affect the lighting, especially if you keep some of the more light sensative or demanding plants.
I had the tannin issue at one time in one of my tanks and just started an aggressive water change schedule. Funny thing though, after the driftwood stopped leaching the tannins, I kept up the large and frequent water changes. It was the best thing I did for my fish and plants.
So in this case, something good came from something not so good.
B