Stitz-Zeager_College_Algebra_e-book

5 we examined the data set given below which showed

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Unformatted text preview: t which f (x) = ln(x) grows versus any principal nth root function? 6.4 Logarithmic Equations and Inequalities 6.4.2 377 Answers 1. (a) (b) (c) (d) (e) (f) (g) (h) x=8 x = 1, x = e2 x=5 1 x= 2 x=1 x=2 x = 101.7 x = 10−5.4 (i) x = 103 (j) x = 81 (k) x = − 17 7 (l) x = 1 e3 −1 3 (m) x = ee (n) x = 6 (o) x = 4 2. (a) (e, ∞) (b) 102.6 , 104.1 (c) 10−3 , ∞ (d) 10−5.4 , 10−2.3 (e) (e, ∞) (f) (0, 1] ∪ [e2 , ∞) 3. (a) x ≈ 1.3098 (b) (−∞, −12.1414) ∪ (12.1414, ∞) (c) x ≈ 4.177, x ≈ 5503.665 (d) (−3.0281, −3) ∪ (0.5, 0.5991) ∪ (1.9299, 2) 1 e3 − 1 4. − < x < 2 2 5. y = 3 5e2x +1 e2x − 1 ex − e−x =x . (To see why we rewrite this in this form, see Exercise 7e in e2x + 1 e + e−x Section 11.10.) The domain of f −1 is (−∞, ∞) and its range is the same as the domain of f , namely (−1, 1). 7. f −1 (x) = 378 Exponential and Logarithmic Functions 6.5 Applications of Exponential and Logarithmic Functions As we mentioned in Section 6.1,...
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