The Loudness of a Sound of Intensity X, Measured in Watts

question 101

Multiple Choice

The loudness of a sound of intensity x, measured in watts per square meter, is defined as L( $$L ( x ) = \log \left( \frac { x } { x _ { 0 } } \right) , \text { where } x _ { 0 } = 10 ^ { - 3 }$$
-A company with loud machinery needs to cut its sound intensity to 26% of its original level. By how many decibels should the loudness be reduced?

• A) 6.880 decibels
• B) 5.760 decibels
• C) 6.237 decibels
• D) 5.850 decibels

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Definitions:

Simplify

The process of altering an expression or equation to make it easier to understand or solve, usually by combining like terms or removing parentheses.

Average Cost

The total cost divided by the number of goods produced, calculating the cost per unit of goods.

Domain

In mathematics, specifically in the context of functions, the domain is the set of all possible input values (or arguments) for which the function is defined.

Manufacturer

A person or company that makes goods for sale in large quantities.