Sound Loudness: Increase of 13.98 dB

[fghtffyrdmns]

Homework Statement

How many decibels does the loudness of a sound increase if its intensity increases 25 times?

Homework Equations

$$dB = 10 log\frac{I_{b}}{I_{a}}$$

The Attempt at a Solution

$$\frac{I_{b}}{I_{a}} = \frac{25}{1}$$

$$dB = 10 log\frac{25}{1}$$
$$dB = 13.98$$

 

[ideasrule]

Correct.