Forests, contrary to popular belief, aren't the huge carbon sinks that they appear to be.
The reason for this is that trees eventually die, fall down, and rot, releasing all that carbon they sequestered back into the atmosphere. New growth forests, where all the trees are young enough that there isn't an equilibrium; sure, they pull carbon out of the atmosphere. But old growth, where trees are continually dying, and being replace by new trees? More or less carbon neutral.
Therefore, chopping those trees down for wood is the best thing to do if you're interested in removing carbon from the atmosphere on a long term basis, as long as new trees are planted to replace the chopped ones. Once I cut a tree to make a dining room table and chair set, that carbon isn't going anywhere, unless my house burns down.
Having said that, I'm among the "deniers" who think the IPCC is overstating the effects of human activity by several orders of magnitude.