# Homework Help: Sound loudness

1. Dec 12, 2009

### fghtffyrdmns

1. The problem statement, all variables and given/known data

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

2. Relevant equations

$$dB = 10 log\frac{I_{b}}{I_{a}}$$
3. The attempt at a solution

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

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

2. Dec 12, 2009

Correct.