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CHAPTER 3 REVIEW
1. WHICH OF THE FOLLOWING COULD BE
THE EQUATION FOR THE GRAPH ?
a)
b)
c)
d)
y = 3x
y = -3x
y = (1/2)x
y = -(1/2)x
2. WHICH OF THE FOLLOWING COULD BE THE
EQUATION FOR THE GRAPH ?
a)
b)
c)
d)
y = lnx + 1
y = lnx – 1
y = ln(x + 1)
y = ln(x – 1)
3. SIMPLIFY (4√2)√2
a)
b)
c)
d)
64
16
42√2
4
4. SIMPLIFY (3X – 1)(3 2 - X)
c)
d)
3
9
25%
b)
33x
27
9
3
25%
a)
5. SOLVE 3X = 1/9
a)
b)
c)
d)
x =1/3
x = -2
x =½
x =-3
-2
x =½
x =-3
x=
x =1/3
6. SOLVE 22X = √2
a)
b)
c)
d)
x=½
x=1
x=¼
no solution
7. SOLVE 8X = 4
a)
b)
c)
d)
2
½
3/2
2/3
8. REWRITE IN EXPONENTIAL FORM
Y = LOG X
a)
b)
c)
d)
10y = x
10x= y
xy = 10
yx = 10
9. REWRITE IN LOG FORM
ep = q
a)
b)
c)
d)
log q = p
log p = q
ln q = p
ln p = q
10. ESTIMATE LOG 5 50
%52 %52
a)
b)
c)
d)
10
between 1 and 2
between 2 and 3
between 3 and 4
04
b
eb
wtte
ew
ee
ne
1n
naa 3
dn
21 d
2
3
11. EVALUATE LOG 1000
%52 %52
a)
b)
c)
d)
100
10
3
2
02
3101
12. EVALUATE ln e
a)
b)
c)
d)
e
1
0
10
13. SIMPLIFY LOG 13 1
%5
a)
b)
c)
d)
0
13
1
no solution
noit
14. WRITE AS A SINGLE LOG
2LOG X – LOG Y
%5
a)
b)
c)
d)
log (2x/y)
log (x2/y)
log x2/log y
log (x2y)
)y2 x(
15. EXPAND LOG (XY)3
%52 %52
a)
b)
c)
d)
3(log x + log y)
log 3x + log 3y
log 3xy
log 3x + log y
ggoo
yyy)xy3g3go
l(3l
lol+ll++xx3x 3ggooglo
16. SIMPLIFY LOG82 + LOG832
a)
b)
c)
d)
2
½
log 834
4
17. SIMPLIFY LOG 300 – LOG 3
a)
b)
c)
d)
Log 297
Log 900
Ln 100
2
18. SIMPLIFY
ln e7
%52
a)
b)
c)
d)
e
7
e7
no solution
noitulo s on
19. SIMPLIFY LOG5 3√25
a)
b)
c)
d)
1/3
2
2/3
no solution
20. SOLVE LOG5(2x – 3) = 2
%52 %52
a)
b)
c)
d)
x = 13/2
x = 14
x = 35/2
x = 11
1xx== xx
3==3
2
15
4//1
21
21. SOLVE LOG7 (x2 - 10) = LOG7 (3x)
%52 %52
a)
b)
c)
d)
x=5
x = -2
x = 5 and x = -2
x = 21
2512-2=-==xxx dna 5 = x
22. SOLVE LOG2X – LOG2(X – 4) = 1
%52 %52
a)
b)
c)
d)
x=8
x=5
x=3
x=1
8 == xx
5
3
1
23. WHAT IS THE DOMAIN OF
Y = LOG 3 (12 – 2X)?
%52 %52
a)
b)
c)
d)
x>3
x<3
x>6
x<6
3 <><> xx
6
24. SOLVE 2ex + 5 = 115
%52 %52
a)
b)
c)
d)
about 4.007
about 3.666
about 9.399
about 55
baa
ob
uao
4ottbu
0t..u9
03
759
3
6
6
6
59
25. SOLVE
2X + 13 = 23
%52 %52
a)
b)
c)
d)
5
about 3.32
about 7.47
about 3.49
59
baa
ob
uo
3 ttu
3.. 3
24
7
7

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