Stitz-Zeager_College_Algebra_e-book

# 5 we examined the data set given below which showed

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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,...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online