In Exercises 79-82, use the following information. The relationship between the number of decibels and the intensity of a sound I (in watts per square meter) is
β = 10 log 1 / 10-12

1. Use the properties of logarithms to write the formula in a simpler form. Then determine the
Number of decibels of a sound with an intensity of 10ˆ’6 watt per square meter.
2. Find the difference in loudness between an average office with an intensity of 1.26 × 10ˆ’7 watts per square meter and a broadcast studio with an intensity of 3.16 × 10ˆ’10 watt per square meter.
3. Find the difference in loudness between a vacuum cleaner with an intensity of 10ˆ’4 watt per
Square meter and rustling leaves with an intensity of 10ˆ’11 watt per square meter.
4. You and your roommate are playing your stereos at the same time and at the same intensity. How much louder is the music when both stereos are playing compared with just one stereo playing?