anonymous
  • anonymous
Let i0=1.0*10^-12 watt per square meter be the energy intensity of the softest sound detectable by the human ear. Let L(i)=10*log(i/i0) be the formula for the loudness of a sound, in decibels(dB), whose energy intensity is i. Find the decibel measure of the sound whose energy intensity is 8*10^-4 watt per square meter. A.80.0 dB B.89.0 dB C.98.0 dB D.107.0 dB E.116.0 dB
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
B
anonymous
  • anonymous
Can I ask how you found that?
anonymous
  • anonymous
L= 10log (i/i0) i = 8 * 10^-4 i/i0 = 8*10^8

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anonymous
  • anonymous
right
anonymous
  • anonymous
log (8*10^8) = log 8 + log 10^8 = 0.903 + 8
anonymous
  • anonymous
that into ten is 89
anonymous
  • anonymous
got it?
anonymous
  • anonymous
yes thank you!
anonymous
  • anonymous
ne more?
anonymous
  • anonymous
Find the logarithm without using a calculator: log (radical) 100000000000 =
anonymous
  • anonymous
wts radical?
anonymous
  • anonymous
if its log to the base 10 then count the no of zeros and thats d answer

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