Modeling with Logarithmic Functions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

The loudness of sound is measured on a logarithmic scale called the decibel scale. The loudness B of sound, measured in decibels, is defined as B = 10 log left paren I over I sub 0 right paren, where I sub 0 =10 to the negative 12th power watts per square meter, is the intensity level of a sound that’s barely audible. Find the decibel level of a jet engine during takeoff if the intensity was measured at 100 watts pwer square meter. Find the intensity level of a motorcycle engine if its loudness was measured to be 90 decibels.