EXERCISES 5,2 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 %3D %3D () 3. = log, 2 4. -2 = = log3 %3D disb ai) bauoe lo
EXERCISES 5,2 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 %3D %3D () 3. = log, 2 4. -2 = = log3 %3D disb ai) bauoe lo
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 50E
Related questions
Question
#5 please explain thoroughly
Transcribed Image Text:Thus the intensity is 1,580,000,000 times Io.
Note that a Richter scale measurement that is 2 u
102 = 100 times greater. Comparing parts (a) and ("
1. The (negative) y-axis
2. Yes
3. x>0 is the domain of log, x.
4. (a) 34 =x = 81
5. (a) x
CHECKPOINT
ANSWERS
(b) log 31 = In 31 = x-
(b) 3
(b) -0.3072
(c) -
(c) 6.
ara 6. (a) 2.7718
le
EXERCISES 5.2
28. (a) log416
29. If f(x) = ln
30. If f(x) = l-
31. If f(x) = 1
32. If f(x) = !
33. If f(x) =
34. If f(x) =
In Problems 1-4, use the definition of a logarithmic func-
tion to rewrite each equation in exponential form.
1. 4 = log2 16
2. 4 = log, 81
odi lo ole
1
3.
= log, 2
4. -2 = log3 la) diosl
nnddi yd
g (eladiasb ni) bruoe lo 22onbuol
In Problems 5–14, solve for x by writing the equation in
exponential form.
5. log3 x = 4
geTOVE di ol gnirasd lo blodondi sb ai erier
In Problems
properties o
6. log4 x = -2
log
7. log16x = --
rl NT a 000,01 e nodwabuol sdi britEo
9. log, (3x + 1) = 2
11. log (4x - 7) = 2
13. In (2x + 5) = 2.2 (to three decimal places) 1 10ode
14. In (2 – x) = -1.4 (to three decimal places)
elsdiosb i brinde lo zesmbuol 1ol noiisups ads rde
In Problems 15-18, write the equation in logarithmic
form.n 1oip ovitelon lo lsvsi seion bnt
15. 2 = 32
8. log25 x =
10. log, (7 - x) = 3 iansini
12. log (1.34 – x) = -1T 0
35. (а) log
o(c) lo
36. (а) lc
(c) 1
e to 16. 5 = 125
onil elod
18. 9/2 = 3
Write ea-
1
17. 4-1 =-
4
differen
exponer
In Problems 19 and 20, write the equation in logarithmic
form and solve for x.
19. e*+5 = 0.55 (to three decimal places)
20. 102x+1 = 0.25 (to three decimal places)lumiol ordi vd
noilsm
ouuloe
37. log
39. log
In Problems 21-26, graph each function.
21. y = log3 x
23. y = In xo
25. y = log, (-x)
22. y = log4 x
24. y = log, x
26. y = In (-x) il sqlom
Use th
in Pro
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