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

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