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Precalculus Chapter 3: Logarithmic Functions: Graphing and Applications y = e^x y = ln(x) y = 10^x y = log(x) The two functions, f(x) = ln x and f(x) = log x, share the same properties: EX: Describe how to transform the graph of the f(x) = ln x or f(x) = log x into the graph of the given function. Sketch by hand. a.) g(x) = ln (– x) + 2 b.) h(x) = -2 log(-x) +1 Application: Modeling Human Memory Students participating in a psychological experiment attended several lectures on a subject. Every month for a year after that, the students were tested to see how much of the material they remembered. The average scores for the group were given by the human memory model: f(t) = 75 – 6 ln (t + 1) for 0 t 12 where t is time in months a.) What was the average score on the original exam (t = 0)? b.) After six months, what was the average score? c.) After ten months, what was the average score? d.) Draw the graph of f(t). Sound: 10 log I I0 Find the level of sound if the intensity is 10-8
