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Question:

If the intensity is increased by a factor of 20, then how many decibels in the sound level increased?

18

7

13

9

Solution:

The intensity in decibels is given as: I(dB) = 10log₁₀(I/I₀) = 10log₁₀(20I₀/I₀) = 10 × log₁₀(20) = 13