82 Chapter 1 Modeling with Functions 6. Simplify the expressions given in Problems 20 to 22. 20. a. 28 log, x b. 33 log, x c. 5-2 logs x d. 23 log/2* e. 3-logi/3* 4 x 21. a. log, 8* b. log, 81* c. log, 64* d. log1/2 32* e. log, 9-x 22. a. e4Inx b. e3 In(x²+1) c. e-2 In(x²-1) 7. d. e-3 In(1/x) e. e-In(1/(x²+1)) 1.5 In Problems 23 to 25 write the expressions in terms of base e and simplify where possible. -2 -1 1 -1.5 1 b. 2x 23. а. 5* c. 51/x -3 d. 4r e. 3re 24. а. 31-х b. 3r+2 c. 21/x+e 8. y d. 4r е. 3-Зк-2 10 8. 25. a. log(x + 1) b. log(ex + e) 6. c. log,(x2 – 2) d. log,(2x – 3) 2 Simplify the expressions in Problems 26 to 30 using the definition of logarithm (do not use a calculator). 4 6. 8 10 26. log 100 + log /10 27. Ine + In 1+ In e542 Find the inverse of the functions in Problems 9 to 14. 28. logs 4+ logs 16 + log, 82.3 Stata tha domain and ran of the
82 Chapter 1 Modeling with Functions 6. Simplify the expressions given in Problems 20 to 22. 20. a. 28 log, x b. 33 log, x c. 5-2 logs x d. 23 log/2* e. 3-logi/3* 4 x 21. a. log, 8* b. log, 81* c. log, 64* d. log1/2 32* e. log, 9-x 22. a. e4Inx b. e3 In(x²+1) c. e-2 In(x²-1) 7. d. e-3 In(1/x) e. e-In(1/(x²+1)) 1.5 In Problems 23 to 25 write the expressions in terms of base e and simplify where possible. -2 -1 1 -1.5 1 b. 2x 23. а. 5* c. 51/x -3 d. 4r e. 3re 24. а. 31-х b. 3r+2 c. 21/x+e 8. y d. 4r е. 3-Зк-2 10 8. 25. a. log(x + 1) b. log(ex + e) 6. c. log,(x2 – 2) d. log,(2x – 3) 2 Simplify the expressions in Problems 26 to 30 using the definition of logarithm (do not use a calculator). 4 6. 8 10 26. log 100 + log /10 27. Ine + In 1+ In e542 Find the inverse of the functions in Problems 9 to 14. 28. logs 4+ logs 16 + log, 82.3 Stata tha domain and ran of the
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Question 20
Transcribed Image Text:82 Chapter 1 Modeling with Functions
6.
-4-
Simplify the expressions given in Problems 20 to 22.
2-
20. a. 28log, x
b. 33 log3 x
c. 5-2log5 x
d. 23 log1/2 x
e. 3-logi/3 x
-4.
21. а. log, 8"
b. log, 81*
c. log, 64*
d. log1/2
32*
e. log, 9-*
-4
22. а. е4 Inx
b. e3 In(x²+1)
с. е -2In(x?-1)
7.
d. e-3In(1/x)
e. e-In(1/(x²+1))
1.5
In Problems 23 to 25 write the expressions in terms
of base e and simplify where possible.
-2,
-1.5
1
b.
2x
23. а. 5*
с. 51/х
d. 4r²
e. 3rº
24. a. 31-x
b. 3r+2
с. 21/х+е
8.
y
d. 4x²
е. 3-Зк-2
10
8
25. а. log(x + 1)
b. log(ex + e)
c. log,(x² – 2)
d. log,(2x – 3)
4
Simplify the expressions in Problems 26 to 30 using
the definition of logarithm (do not use a calculator).
2
4
6.
8
10
26. log 100 + log v10
27. In e + In 1+ In e542
Find the inverse of the functions in Problems 9 to 14.
State the domain and range of the inverse.
28. logg 4 + logs 16 + logg 82.3
20
10log 0.5
6
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