Stitz-Zeager_College_Algebra_e-book

# To that end we subtract 3 from both sides and get a

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Unformatted text preview: ) f (x) = log7 (4x + 8) f (x) = ln(4x − 20) f (x) = log x2 + 9x + 18 x+2 f (x) = log x2 − 1 x2 + 9x + 18 f (x) = log 4x − 20 f (x) = ln(7 − x) + ln(x − 4) f (x) = ln(4x − 20) + ln x2 + 9x + 18 (i) f (x) = log x2 + x + 1 (j) f (x) = 4 log4 (x) (k) f (x) = log9 (|x + 3| − 4) √ (l) f (x) = ln( x − 4 − 3) 1 (m) f (x) = 3 − log5 (x) √ −1 − x (n) f (x) = log 1 (x) 2 (o) f (x) = ln(−2x3 − x2 + 13x − 6) 3. For each function given below, ﬁnd its inverse from the ‘procedural perspective’ discussed in Example 6.1.5 and graph the function and its inverse on the same set of axes. (a) f (x) = 3x+2 − 4 (b) f (x) = log4 (x − 1) (c) f (x) = −2−x + 1 (d) f (x) = 5 log(x) − 2 4. Show that logb 1 = 0 and logb b = 1 for every b > 0, b = 1. 5. (Crazy bonus question) Without using your calculator, determine which is larger: eπ or π e . 6. (The Logarithmic Scales) There are three widely used measurement scales which involve common logarithms: the Richter scale, the decibel scale and the pH scale. The computations involved in all three scales are nearly identical so pay close a...
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