The decibel is the unit of sound level, which is a convenient way of representing the large range of sound intensities that the ear can detect. from the definition of the decibel we can see that increasing the sound intensity by a factor of ten results in:

Increase of ten yields 10 dB increase

Explanation:

The decibel is a logarithmic scale that shortens a large range of numbers into smaller and more manageable numbers. The decibel is found using:

Where r represents a ratio of a measured magnitude (pressure or intensity level in sound) to a reference pressure or intensity value. However, in our problem we only need to represent an increase factor of ten:

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explanation:

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