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The decibel level of sound can be found by the equation
Given that normal conversation has a decibel level of 65 and
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Beginning and Intermediate Algebra
- The formula for measuring sound intensity indecibels D is defined by the equation D=10log (II0), where I is the intensity of the sound in wattsper square meter and I0=1012 is the lowest level ofsound that the average person can hear. How manydecibels are emitted from a largeorchestra with asound intensity of 6.3103 watts per square meter?arrow_forwardThe formula for measuring sound intensityin decibels D is defined by the equation D=10log(II0) where I is the intensity of the sound in watts persquare meter and I0=1012 is the lowest level of sound that the average person can hear. How manydecibels are emitted from a rock concert with a sound intensity of 4.7101 watts per square meter?arrow_forwardThe population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is inarrow_forward
- For the fo?awing exercises, use logarithms to solve. 5e9x88=62arrow_forwardUse logarithms to find the exact solution for 3e6n2+1=60. If there is no solution, write nosolution.arrow_forwardExplain the method you would use to solve these equations: 3x+1=81,3x+1=75. Does your method require logarithms for both equations? Why or why not?arrow_forward
- Use logarithm to find the exact solution for 9e10a85=41. If there is no solution, writeno solution.arrow_forwardRewrite e12=m as an equivalent logarithmicequation.arrow_forwardThe intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula logI1I2=M1M2 where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hitHonshu, Japan. In March 2011, that same regionexperienced yet another, more devastating earthquake, this time with a magnitude of 9.0.[23] Haw many timesgreater was the intensity of the 2011 earthquake?Round to the nearest whole number.arrow_forward
- In Exercises 79-82, use the following information. The relationship between the number of decibels and the intensity of a sound I (in watts per square meter) is =10logI1012. Find the difference in loudness between a vacuum cleaner with an intensity of 104 watt per square meter and rustling leaves with an intensity of 1011 watt per square meter.arrow_forwardIn Exercises 18-20, condense the expression to the logarithm of a single quantity. 4lnx4lnyarrow_forwardSolve for x by converting the logarithmic equation log17(x)=2 to exponential form.arrow_forward
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