I believe you need to get your logbook notarized (all they are really doing is verifying that you are the person who signed it), then you go to the County Clerk where they will sign it verifying that the notary public signed it, then you go to the New York Department of State where they will issue you an apostille verifying that it was signed by the County Clerk. Then you can go the U.S. Department of State where they will issue you an apostille verifying that the New York Department of State has verified that the County Clerk verified that the Notary Public verified that you signed your logbook.

Clear enough?