Sound Waves Conceptual Question

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Walking half the distance toward a jackhammer results in a sound level increase of approximately 6dB. This increase is due to the intensity of sound, which quadruples as distance is halved, following the formula I=I0(r0/r)². The term "bearable" may be ambiguous, as the discussion suggests "just audible" might be more appropriate for clarity. Understanding the definition of decibels is crucial for interpreting sound intensity changes. The conversation emphasizes the importance of both distance and intensity in sound perception.
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1. You are standing some distance from a jackhammer where the sound intensity is bearable. You then walk half the distance toward the jackhammer. The change in sound level is about:



The given answer is 6dB.



I am not sure if this problem requires knowing what intensity "bearable" is. I know that I=I0(r0/r)2 so the intensity should increase fourfold. However I am not sure how to arrive at 6dB
 
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