Last ~
First Name:
3—
1.)
12.)
2.)
13.)
3.)
14.)
4.)
False
15.)
5.)
True.
16.)
6.)
—S
_____
2
“°je
(c1s
~
17.)
jje(~)
7.)
IlL
3
18.)
7
8.)
9.)
2.7
),000,ooo
10.)
‘?~
11.)
3
?ZT
19.)
I
20.)
21.)
(x-2)(’x—
-3÷q?\/
3-e’~L~’
2
2
* * * * * ** ** * * * * * ** * * * * * * * * ** ** ** ** * * *** * * * * * ** * * ** * * * *** ** ** ** ** * * *** * *
22.) p(x)
3
I)
(I
it
-LI.
-3
I
fl
sit
24.) cx
25.) 1og~(x)
26.) 3eX
27.) 1og~(—x)
—
28.) f(x)
I
29.) gQr)
If.
If.
I
I
n
—0
a
I
-3
-2.
;il~
-‘
—I,
-z
‘-3
.0w.
Third Exam
For #1-6 write the entire word w~fiue~~ or the entire word “False”.
1.) log~(z’C0)
2.) (ax)Y
3.)
wlog~(z)
=
log~Q~)
4.) axaY
=
=
5.) log~(~)
6.)
5
7.)
Write
=
log~(z) + log~(w)
axY
=
log4(z)
—
log~(w)
=
41734—1764
*b%~~t’~
as a rational number in standard form.
~J7S—I7≤+I
Lf~~2=
8.) Write (9*)~ as a rational number in standard form.
J~)
9.)
Write
10, 000~
3
z3~27
as a rational number in standard form.
~oj3~
)~I2/ =)Q~=)ooqaoo
10.) Write (~)~ as a rational number in standard form.
2
Ii.) Write 1og10(1, 000) as a rational number in standard form.
3
12.) Write 1og3(~) as a rational number in standard form.
13.) What is the greatest integer that is less than log5(37) ?
52<3? <~3
~
14.) Solve for x if
&‘
=
3
X
15.) Solve for x if logg(x) =
(Write your answer as a rational number in standard form.)
—~
~
16.) Solve forx if2+e”~5= 8
%t5z
tz
)o5~
~
17.) Solve for x if 41og~(2x)
=
16
~4r 9
JOj~(2~)
2z~ e~
18.) Solve for x if e2~1ex~
(2.x+bt(x+3’)
e
=
7
=7
3.t+Lf
3x÷~
)o~(7)
3t~
19.) Solve forx if log6(x + 7)
=
2 + log~(x)
Io~(z+7)- io~~6c~
2
x~7e2x
20.) Find a root of x3 +
1,-I, 2,-2
Fc~c-tzxs o~
3
I ~fI~2O,
so
I
•~s. a
21.) (2 pts.) Completely factor x3 + x2
2.
1 4I S 2.
2.
—
5x
—
2 (Hint: 2 is a root.)
Thscci~ant
S°
+I’.nt
2
-2
a’)
/
/ N
-34e
(1+
j2+3y.-&
3ZL~(I)(j)
/ 3(0
3
cj
~-‘~
ace 2. rootst
avid
2
22.) Graphp(x) = —2(x+2)(x+2)(x— 1)(x2 +3)
x-~n1-:_2 cnicl I
in betwan: p&)t. _Z(o÷2)(o+2.)(o_J)(cz4-3)>O
bSi- tr11~t —2x5
23.) Graph
vtct
fl/1t%~
—2
x—i\tt~ 2
rQr)
~ ~et.~n&
___
—
i€ct*c;3\’t~ ~5L~
at
24.) Graph
—
5(x —2)
2(x+2)
____
___
~ and label its y-intercept.
25.) Graph log~(x) and label its x-intercept.
26.) Graph 36W and label its x- and y-intereepts (if there are any).
27.) Graph log6(—x) and label its x- and y-intercepts (if there are any).
28.) Graph
f:
[—1, 1)
29.) Graph g: (—2,2]
—÷
R where f(x)
—+
R where g(x)
=
=
2.
x.