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Take a look at the image above taken from the Logan Airport TAC sectional chart. The inner ring around Logan extends out 8 nautical miles and is Class B airspace from the surface to 7,000'. If you live in this area then you are out of luck without authorization from Air Traffic Control (which is highly unlikely in Class B airspace). The next concentric circle extends from the 8 nautical mile point out to 10.5 nautical miles. This area has Class B airspace starting at 2,000' up to 7,000 feet. If you live in this area, you are OK to fly since you will be flying below the controlled airspace "shelf". You still need to notify any other airports within 5 miles as shown on the B4UFly app. The remaining "shelves" of the Logan Class B airspace are higher up and further out so the same would apply if flying there. Just check the map and see where you live in that area.
One last thing. There is also Class D controlled airspace (dashed circle) around the Bedford Airport (upper left part of image) and the Norwood Airport (lower left) that extend from the surface to 2600' . If you want to fly there, you'd have to have authorization from the Bedford or Norwood towers.