Question

an equation for loudness, in decibles, is L=10log10 R where R is the relative intensity of the sound. Sounds that reach levels of 120 decibles or more are painful to humans what is the relative intensity of 120 decibles

Answer 1

Considering the logarithmic loudness equation, the relative intensity of 120 decibels is of $R = 10^{12}$.

What is the logarithmic loudness equation?

The equation is:

$L = 10\log{R}$

In which:

• L is the loudness, in decibels.

• R is the relative intensity.

For this problem, we have that L = 120, hence the relative intensity is found as follows:

$120 = 10\log{R}$

$\log{R} = 12$

$R = 10^{12}$

More can be learned about logarithmic equations at brainly.com/question/28043645

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