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the loudness L of a sound in decibels is given L=10log10R, where R is the sound's relative intensity. if the intensity of a certain sound is tripled, by how many decibels does the sound increase?

due tomorrow, tuesday, april 5th, 2011.
help pleaseeeee ;)

  • algebra 2 - ,

    say original R = 1
    final R = 3
    L1 = 10 log 10
    L2 = 10 log 30

    L2 - L1 = 10 (log 30-log 10)

    = 10 log 30/10
    =10 log 3
    = 4.77 dB

  • algebra 2 - ,

    ahhhhhh thank you! you're my mathematical hero :) hahaha

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