Name
_
Date'---
_
~Period
Chapter
B: Review Worksheet
,
Graph.
1. y
= 3x - 2 + 1
5. y=lnx-2
2. Y
= log~ x
3.y=2(tf
3
6. y=log4(x-4)
7. y
= -3·2 x
4. y
= e -l
H8.
4
Y = 1 +2e- 3x
X
;~Simplify without usinq a calculator.
)
log2 8
10. logl16
2
11. logs 625 2
12. logj3
3
15. lne-
2
16. 3log 10-
17. log 4.5
18. In23
19. log4 6
21. In8
22.
-fj-S
I
13. 61og63x
.~ . Evaluate:
20. -3log3
14. e
1n3
log7 2
23. e
-
2log} 27
-}
Solve.
x
24. 3e -l=14
·,,~28.
10
2x
+ 75 = 150
25. 3log 2 x
= 28
29. lnx + In(x + 1)
26. In(2x + 7)
= ln2
= In(x - 4)
30. log x + log(x - 3) ~4
x 2
27. 5 -
= 25
1
31. log -=-2
x
16
Condense usinq properties of logarithms.
33. 7log 3 u-4log 3 x
32.
log2 5 + log2 X-log2 10
34. 2+4log 3 x
H35.
3log 34 -log3 2 + log3 y
1)
--
,
Expand using properties of
logarithms:
36. log4xy
1
2ab
c
2
38. log3 27
37. og--3­
39. Write an exponential function of the form y
= ab x
40. Write a power function of the form y
whose graph passes through (1, 16) and (3,36)
graph passes through (2, 28) and (8, 192)
Find the inverse.
41. f(x)=3x+l
43. f(x)
42. f(x)
= 2ln3x
pjq
= log(x - 2)
H45. The spread of a virus through a student population can be modeled by S =
44. f(x)
= ax b
whose
= 2x 2 -1
5000
-08t where S is the total
1+499ge .
number of students infected after t days.
A) Graph the model
B) tell when the point of maximum growth in infections is reached
•
C)
When will the number infected reach 3400?
"i:lJ
~
.~
~----
Solve without using logs:
9. 3
10. -4
11. 8
12. -5
13. 3x
14. 3
15. -3
16. -12
17..653
18..833
19. 1.292
20. -1.431
21. 2.079
22.~.3'J1.O
23..05
24. 1.609
25. 645.08
46. 32x
26. ::.u.. (10 sol.
27. 4
28..938
29. 1
30. 4
31. 4
= 27 x- 2
38.
2
Y = 33
40. Y =
Gr
41.
Y = X;1
33.
42.
Y
34.
log39x4
43. Y= lOx +2
35.
,~-~
log3-y-'Lj
44.
x
1
+
48. Exponential growth or
decay?
X
y
= 3(tf
y
= _4(i)2X
y =2e x
y=-5·3 x I
47. 5
48. G
G
D G
=teI
y=F¥
36.
45B.10.6
log4 +logx +logy
45C. 11.6
37.
2x
1O.69x L389
log2T
u'
log3--:;-
32.
= 16
-2
3+ log3 P +tlog3 q
39.
(:J
47.
46. 6
log2 +loga +210gb - 310gc
-------------------------------------------------­