Stitz-Zeager_College_Algebra_e-book

F example 735 a satellite dish is to be constructed in

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Unformatted text preview: case, when y = 42.) While these concepts are more precisely quantified using Calculus, below are two views of the graph of y = N (x), one on the interval [0, 8], the other on [8, 15]. The former looks strikingly like uninhibited growth; the latter like limited growth. 84 y = f (x) = 1+2799e−x for 0≤x≤8 6.5.2 84 y = f (x) = 1+2799e−x for 8 ≤ x ≤ 16 Applications of Logarithms Just as many physical phenomena can be modeled by exponential functions, the same is true of logarithmic functions. In Exercises 6a, 6b and 6c of Section 6.1, we showed that logarithms are useful in measuring the intensities of earthquakes (the Richter scale), sound (decibels) and acids and bases (pH). We now present yet a different use of the a basic logarithm function, password strength. Example 6.5.6. The information entropy H , in bits, of a randomly generated password consisting of L characters is given by H = L log2 (N ), where N is the number of possible symbols for each character in the password. In general...
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