Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15DE
Related questions
Question
#3 please explain all steps
Transcribed Image Text:102 = 100 times greater. Comparing parts (a) and
1. The (negative) y-axis
2. Yes ilh ew
3. x>0 is the domain of log, x.
4. (a) 34 =x= 81
5. (a) xp oUe
6. (a) 2.7718
CHECKPOINT
ANSWERS
Ind
(b) log 31 = In 31 =
(b) 3
(b) -0.3072
(c)
(с) €
EXERCISES 5.2
28. (a) log416
29. If f(x) = ln
30. If f(x) = la
31. If f(x) = l-
32. If f(x) = 1
33. If f(x) = e
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 = log, 16
2. 4 = log3 81
alod lo oite
1
3. = logą 2
4. -2 = log3
ihnn lodioe
ibsb mi) bruoz lo a2snboof
2
In Problems 5–14, solve for x by writing the equation in
exponential form.
In Problems 3
6. log4 x = -2
1o blodoudi sb alonoriw
8. log25 x =
5. log3 x = 4
properties of
log a-
7. log16 x = -
rl al aidTemo 000,01 af Y aodw 25nbuoloh baitca
9. log, (3x + 1) = 2
11. log (4x - 7) = 2
13. In (2x + 5) = 2.2 (to three decimal places) uode
14. In (2 – x) = -1.4 (to three decimal places)
eladiosb ni bmioe lo zesnbuol 1ol noilsups a
In Problems 15-18, write the equation in logarithmic
2
10. log3 (7 – x) = 3nsini
12. log (1.34 – x) = -1 8
35. (a) loga
o (c) loga
36. (a) log.
form.
15. 2 = 32
eion bnn
16. 5 = 125
(c) log.
elodios
18. 9/2 = 3
1
Write each e
17. 4-1 =
4
%3D
difference c
exponents.
In Problems 19 and 20, write the equation in logarithmic
form and solve for x. onbyd) Ha sit san
19. ex+5 = 0.55 (to three decimal places)
20. 102x+1 = 0.25 (to three decimal places)lunol odi vd
noilam
37. log
nouuloe
%3D
39. log, (x
In Problems 21-26, graph each function.
21. y= log, x
22
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