EXERCISES In Problems 1-4, use th tion to rewrite each equ. 1. 4 = log, 16

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
icon
Related questions
Question
#1 please explain all steps
SECTION 5.2 Logarithm.
no 8.apnhom d Thus the intensity is 1,580,000,000 times Io.
lanoH lo ano
Note that a Richter scale measurement that is 2 un
102 = 100 times greater. Comparing parts (a) and (b)
1. The (negative) y-axis
2. Yes ze
3. x>0 is the domain of loga x.
4. (a) 34 = x = 81
CHECKPOINT
ANSWERS
ds
2om d asv 5. (a) xpoUe
vse oa OA orir 6. (a) 2.7718
(b) log 31 = In 31 = x =
(b) 3
(b) -0.3072
(c) -2
(c) 6.15
be a881 nisnilors) iuo
loorla
EXERCISES 5.2 m woH
28. (a) log416
29. If f(x) = ln (x)
30. If f(x) = log (=
31. If f(x) = log (-
32. If f(x) = In (x
33. If f(x) = e*, fi
34. If f(x) = 10*,
In Problems 1–4, use the definition of a logarithmic func-
tion to rewrite each equation in exponential form.
1. 4 = log, 16
2. 4 = log, 81
iodt lo oiteT
1
3. = log, 2
4. -2 = log3
eladipb i) bmuoe lo aesnbol
189
In Problems 5-14, solve for x by writing the equation in
exponential form.
5. log3 x = 4
gol01
6. log, x = -2
In Problems 35 ar
properties of loga
lo blodoudi o) alo1arlw
1
7. log16 x = -
8. log25 x =
log ax =
ef 1 nodw aabuol sdt brit c
10. log3 (7 – x) = 3ansini
9. log, (3x + 1) = 2
35. (a) log, (xy
11. log(4x - 7) = 2 1 12. log (1.34 – x) = -1dT o
13. In (2x + 5) = 2.2 (to three decimal places) Juods
14. In (2 – x) = -1.4 (to three decimal places)
(c) log, (x
elodibsb ni bruoe lo 22snbuol
36. (a) loga (yz
In Problems 15-18, write the equation in logarithmic
form.
19up
15. 2 = 32 s baisod
bvsl seiort
16. 5 = 125
(c) log, (yº
Write each exp:
1
17. 4 1 = -
4
18. 91/2 = 3
%3D
difference of tw
exponents.
In Problems 19 and 20, write the equation in logarithmic
Ho sdi an aleimsd.noilam
of noilos
form and solve for x.
19. ex+5 = 0.55 (to three decimal places)
37. log
x +
Transcribed Image Text:SECTION 5.2 Logarithm. no 8.apnhom d Thus the intensity is 1,580,000,000 times Io. lanoH lo ano Note that a Richter scale measurement that is 2 un 102 = 100 times greater. Comparing parts (a) and (b) 1. The (negative) y-axis 2. Yes ze 3. x>0 is the domain of loga x. 4. (a) 34 = x = 81 CHECKPOINT ANSWERS ds 2om d asv 5. (a) xpoUe vse oa OA orir 6. (a) 2.7718 (b) log 31 = In 31 = x = (b) 3 (b) -0.3072 (c) -2 (c) 6.15 be a881 nisnilors) iuo loorla EXERCISES 5.2 m woH 28. (a) log416 29. If f(x) = ln (x) 30. If f(x) = log (= 31. If f(x) = log (- 32. If f(x) = In (x 33. If f(x) = e*, fi 34. If f(x) = 10*, In Problems 1–4, use the definition of a logarithmic func- tion to rewrite each equation in exponential form. 1. 4 = log, 16 2. 4 = log, 81 iodt lo oiteT 1 3. = log, 2 4. -2 = log3 eladipb i) bmuoe lo aesnbol 189 In Problems 5-14, solve for x by writing the equation in exponential form. 5. log3 x = 4 gol01 6. log, x = -2 In Problems 35 ar properties of loga lo blodoudi o) alo1arlw 1 7. log16 x = - 8. log25 x = log ax = ef 1 nodw aabuol sdt brit c 10. log3 (7 – x) = 3ansini 9. log, (3x + 1) = 2 35. (a) log, (xy 11. log(4x - 7) = 2 1 12. log (1.34 – x) = -1dT o 13. In (2x + 5) = 2.2 (to three decimal places) Juods 14. In (2 – x) = -1.4 (to three decimal places) (c) log, (x elodibsb ni bruoe lo 22snbuol 36. (a) loga (yz In Problems 15-18, write the equation in logarithmic form. 19up 15. 2 = 32 s baisod bvsl seiort 16. 5 = 125 (c) log, (yº Write each exp: 1 17. 4 1 = - 4 18. 91/2 = 3 %3D difference of tw exponents. In Problems 19 and 20, write the equation in logarithmic Ho sdi an aleimsd.noilam of noilos form and solve for x. 19. ex+5 = 0.55 (to three decimal places) 37. log x +
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage