Since ln1 0 we choose ln 1 ln 3 and ln3 2 2 1

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Unformatted text preview: n earthquake which registered 6.7 on the Richter scale had a seismograph reading ten times larger than one which measured 5.7. iv. Find two news stories about recent earthquakes which give their magnitudes on the Richter scale. How many times larger was the seismograph reading of the earthquake with larger magnitude? (b) While the decibel scale can be used in many disciplines,11 we shall restrict our attention to its use in acoustics, specifically its use in measuring the intensity level of sound.12 The Sound Intensity Level L (measured in decibels) of a sound intensity I (measured in watts per square meter) is given by L(I ) = 10 log I 10−12 . W Like the Richter scale, this scale compares I to baseline: 10−12 m2 is the threshold of human hearing. i. Compute L(10−6 ). ii. Damage to your hearing can start with short term exposure to sound levels around 115 decibels. What intensity I is needed to produce this level? iii. Compute L(1). How does this compare with the threshold of pain whic...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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