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PrecalculusSuperchallengeExponential and Logarithmic Functions

Exponential and Logarithmic Functions · Superchallenge problem

Sound level in decibels is L=10log⁡10II0L=10\log_{10}\dfrac{I}{I_0}, where II is the intensity and I0I_0 a fixed reference intensity. One loudspeaker produces a sound level of 8080 dB at a certain spot, and when several identical loudspeakers play together their intensities add. What is the least number of these loudspeakers needed to produce a sound level of at least 9595 dB at that spot?