The sound level at a distance of 3.00 m from a source is 120 dB. At what distance will the sound level be (a) 100 dB and (b) 10.0 dB?

Explanation

To solve the problem of finding the distances at which the sound levels are 100 dB and 10 dB, we will use the relationship between sound intensity and distance, as well as the decibel scale.

### Step-by-Step Solution:

1. **Understanding the Decibel Scale**:
The sound level in decibels (dB) is given by the formula:
\[
L = 10 \log_{10} \left( \frac{I}{I_0} \right)
...