Exam 3
-
Green Version
Name:
Instructions: There are multiple versions to protect examination integrity. Write the
answers in the underlined space provided. Each problem is worth 1 point, except #21, 22,
and 23 are worth two points each. Partial credit is possible and earned when justification
is shown.
1.
11.
2.
12.
45
3.
14.
5.
15.
6.
16.
looD
3
13.
4.
7.
9
17.
(di)
\P
e
e
c
lO
18.
U
19.
¶2
10.
20.
5
21.________
22. p(x)
I
I
I
—
—
C
C
N
+
True or False
For # 1-6, completely write either, “True,” or, “False.”
1. loge
(ZW) =
2. loge
()
wlog (z)
=
3. 1og (z + w)
4. (ax)Y
5.
=
loge (z)
=
—
loge (w)
1og (z) + logs (w)
a’
=
—
a’
6. axaj
=
7. Write (1Oi) as a rational number in standard form.
LO2
8. Write
/27”
OO
as a rational number in standard form.
(3/’Z
2)
9. Write
52 5_283 5280
-
as a rational number in standard form.
10. Write 16 as a rational number in standard form.
9
11. Write log
10 (1, 000, 000, 000) as a rational number in standard form.
(1o)
12. Write logi
(‘Yfö)
as a rational number in standard form.
-1
(c
13. Which is the greatest integer that is less than log
2 (50)?
6J)
14. Solve for x: eX
=
21.
(2ñ
15. Solve for x: loge(x)
=
—3.
—3
16. Solve for x: e + 5
8.
=
3
:
17. Solve for x: 1og (x + 10)
=
4.
4O
-o
18. Solve for x: ex
=
24
.
3
e
x7
-
19. Solve for x: log
3 (x
2
—
2\+7
2x)
—
3 (x)
log
=
2.
\
o3(
f)
20. Find a root of 3
x+2
6x + 6x + 5.
—L
21. Completely factor —2 + 7x
2 + lOx
—
24. (Hint: 4 is a root.)
-
—9
-L
—
—
-
-2
Graphing
22. Graph
p(x)
=
3(x + 6)(x + 3)(x + 3)(x
—
2 + 2)
2)(x
23. Graph
—
rx
—
—4(x + 3)(x
5(x + 1)(x
—
5)
2 +6)
1)(x
—
24. Graph e and label its y-intercept. (This means you should mark that point and
write its coordinates down.)
25. Graph 1og (x) and label its x-intercept.
26. Graph e + 1 and label its x- or y—intercepts (if there are any.)
10 (x
27. Graph 2 log
—
2) and label its x- or y—intercepts (if there are any.)
28. Extra Credit Graph
rx—
—
(x+4)(x+1)(x—5)
+8)
2
(x+4)(x—2)(x