Concept explainers
Tofind:the difference in loudness when two stereos of same intensity are played at same time compared to when just one stereo is played.
Answer to Problem 82E
Explanation of Solution
Given:
The relationship between the number of decibels
Concept Used:
Product property of logarithm states that for a positive real numbers a such that
Power property of logarithm states that for a positive real numbers a such that
Quotient property of logarithm states that for a positive real numbers a such that
Let the intensity of the stereo be I .
So, when one stereo of intensity I is played, the loudness is,
When two stereos with same intensity are played, the new intensity is
Substitute
Using the product property,
Now find the difference,
Conclusion:
Hence, the difference in loudness is approximately 3.01 dB.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
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