Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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#7 explain thoroughly please
Transcribed Image Text:4. (a) 34 = x = 81
5. (a) x p 00e
6. (a) 2.7718 in
is the domain of loga x.
(b) log 31
(b) 3
(b) -0.3072
= In
EXERCISES 5.2 ar
om
In Problems 1-4, use the definition of a logarithmic func-
tion to rewrite each equation in exponential form.
1. 4 = log, 16
28. (а) log
29. If f(x
30. If f(x
31. If f(x
32. If f(>
33. If f(=
34. If f(:
2. 4 = log, 81
1
3.
log, 2
4. -2 = log3
2
ope
(eladi:
ni) bnuoe lo aeoobuol
In Problems 5-14, solve for x by writing the equation in
exponential form.
5. log3 x = 4
In Probl
6. log4 x = -2
io blo
8. log25 x =
properti
STAGLORG
7. log16 x =
2
--
brit ca
9. log, (3x + 1) = 2o 10. log3 (7 - x) = 3
11. log(4x - 7) = 2 12. log (1.34 – x) = -1
13. In (2x + 5) = 2.2 (to three decimal places) Juoda
14. In (2 – x) = -1.4 (to three decimal places)
eladiosb bruoa
In Problems 15-18, write the equation in logarithmic
form.o 1i
15. 2 = 32
35. (а)
(c)
ol 1ol noilsUps
36. (а)
bniton
16. 5 = 125
(c)
Write
17. 4-1:
4.
18. 9/2 = 3
differe
expon
In Problems 19 and 20, write the equation in logarithmic
form and solve for x. byd) Hq sdi san alaiomsd.noilam
19. e3x+5 = 0.55 (to three decimal places)
20. 102x+1 = 0.25 (to three decimal places) lunot oris yd
37. la
sm ol nouloe
%3D
39. lc
In Problems 21-26, graph each function.
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