Gauss, Karl Friedric – Homework 14 – R Gompf – 57965 – Nov 15, 2004
1
This printout should have 23 questions.
Multiplechoice questions may continue on
the next column or page – ±nd all choices
before answering.
The due time is Central
time.
001
(part 1 of 1) 10 points
Use properties of logs to simplify the ex
pression
log
9
(
x
−
p
x
2
−
63 ) + log
9
(
x
+
p
x
2
−
63 )
.
1.
log
9
7
2.
1 + log
7
9
3.
9 + log
9
7
4.
1 + log
9
7
5.
log
7
9
002
(part 1 of 1) 10 points
Simplify the expression
f
(
x
)=6
5(log
6
e
)ln
x
as much as possible.
1.
f
(
x
)=5
x
2.
f
(
x
)=
x
30
3.
f
(
x
)=
x
6
4.
f
(
x
)=
x
5
5.
f
(
x
)=
e
31
003
(part 1 of 1) 10 points
The graph
246
−
2
−
4
−
6
−
8
−
10
2
4
6
8
−
2
−
4
−
6
−
8
P
passes through the point
P
=(
−
8
,
−
6) and
has a vertical asymptote at
x
=
−
9.
Which log function
f
(
x
)=
a
log
c
(
x
−
b
)
−
a
has this as its graph?
1.
f
(
x
)=6
−
6log
5
(
x
+9)
2.
f
(
x
)=7
−
log
4
(
x
−
9)
3.
f
(
x
)=6
l
o
g
4
(
x
+9)
−
6
4.
f
(
x
)=6
l
o
g
5
(
x
−
9)
−
6
5.
f
(
x
)=7
l
o
g
4
(
x
+9)
−
7
004
(part 1 of 1) 10 points
Solve for
x
in the equation
ln
x
+ ln(
x
+1) = ln30
.
1.
none of these
2.
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2
4.
x
=
−
6
5.
x
=6
005
(part 1 of 1) 10 points
Find the smallest solution of the equation
e
x
−
21
e
−
x
=4
.
1.
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