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## Homework Statement

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

## Homework Equations

[tex]dB = 10 log\frac{I_{b}}{I_{a}}[/tex]

## The Attempt at a Solution

[tex]\frac{I_{b}}{I_{a}} = \frac{25}{1}[/tex]

[tex]dB = 10 log\frac{25}{1}[/tex]

[tex] dB = 13.98[/tex]