
Concept explainers
Tocalculate:The increase in the intensity of sound made by blue whale in decibels.

Answer to Problem 43E
The required increase in the intensity of blue whale from that of the human ear is 60 decibels.
Explanation of Solution
Given information:
The sound of blue whale is 1000000 times of a human year.
Formula used:
Logarithmic function
L(I)=10logIIo
Consider thefunction of loudness of blue whale as:
L(1000000I)
Consider the function of hearing capacity of human ear as:
L(I)
Subtract the loudness of television program from that of advertisement.
L(1000000I)−L(I)
Use the formula of logarithmic function to solve the above expression, L(I)=10logIIo .
L(1000000I)−L(I)=10log1000000IIo−10logIIo=10(log1000000IIo−logIIo)=10log1000000
Use a calculator to find the solution of the expression.
10log1000000=60
Hence, there is a 60 decibels increase in the intensity of blue whale from that of the human ear.
Chapter 6 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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