There should be a note on your account with AirBnB that explains your situation in your area. But if your state and/or locality require the collection and remittance of sales tax or transient lodging tax, you'll have to do it if AirBnB doesn't. Go to your local city or county hall and ask about the process. Do you have to register as a business? Do you have to collect and remit sales tax? Don't delay. If they stumble across your listing and find you haven't remitted taxes for the past periods, there will be fines and penalties as well as the taxes to pay. But often, they're quite helpful and want to get you up to speed as helpfully as possible.
Then, you can do as I do: as soon as someone requests to book, I send them the following message:
"Hi, there, and thanks for your interest in Butternut Cottage! I just need to make sure you noticed in my listing that I must collect and remit 12.3% local and state sales taxes? AirBnB is still negotiating with the VA Dept of Revenue to collect this for us but, in the meantime, we must.
If that's OK, I can accept the reservation and send you an invoice for the taxes separately. "