1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Intensity : Log

  1. Nov 20, 2007 #1
    1. The problem statement, all variables and given/known data

    A hearing aid increases the sound intensity level, thereby allowing a person to hear better. For the following decibel increases, by how much does the intensity of sound increase?

    b) 22dB

    2. Relevant equations

    [tex]\beta=10log (I/Io)[/tex]

    3. The attempt at a solution
    I substitute 30 in for the beta, and 1x10^-12 for the Io, but i can't seem to solve for the correct answer. Can anyone lend a hand?

    I really have trouble with bringng to log to the other side. Thanks
  2. jcsd
  3. Nov 21, 2007 #2

    Gib Z

    User Avatar
    Homework Helper

    [tex]\frac{\beta}{10} = \log_{10} (I/I_0)[/tex]

    By the definition of the logarithm, [tex]I/I_0 = 10^{\frac{\beta}{10}}[/tex]

    So [tex]I = I_0 \cdot 10^{\frac{\beta}{10}}[/tex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook