Download Graph the function. 1) f(x) = 4x Answer: 1

College Algebra Review for Quiz 4
Name _______________________________
Graph the function.
1) f(x) = 4x
Answer:
1
1 x
2) f(x) = ( )
5
Answer:
2
Graph the function.
3) Use the graph of log 5 x to obtain the graph of f(x) = log 5 (x - 2).
Answer:
3
4) Use the graph of log 3 x to obtain the graph of f(x) = 2 log 3 x.
Answer:
4
5) Use the graph of log 5 x to obtain the graph of f(x) = -2 + log 5 x.
Answer:
Write the equation in its equivalent exponential form.
6) log 4 16 = 2
Answer: 42 = 16
7) log 6 36 = x
Answer: 6x = 36
8) log b 9 = 2
Answer: b2 = 9
Write the equation in its equivalent logarithmic form.
1
9) 4-3 =
64
1
= -3
Answer: log 4
64
5
10)
3
8=2
1
Answer: log 8 2 =
3
11) 62 = 36
Answer: log 6 36 = 2
Evaluate the expression without using a calculator.
12) log 4 64
Answer: 3
13) log 10 100
Answer: 2
1
14) log 2
4
Answer: -2
15) log 9 1
Answer: 0
16) log 12 12
1
Answer:
2
17) log 2 2
Answer: 1
18) log 2 220
Answer: 20
19) 5
log 5 15
Answer: 15
20) log 125 5
Answer:
1
3
6
Find the domain of the logarithmic function.
21) f(x) = log 9 (x + 4)
Answer: (-4,
)
22) f(x) = ln (9 - x)
Answer: (- , 9)
23) f(x) = log 2 (x - 2)2
Answer: (- , 2) or (2,
)
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible,
evaluate logarithmic expressions without using a calculator.
24) log 2 (4x)
Answer: 2 + log 2 x
25) log 10 (1000x)
Answer: 3 + log 10 x
7
26) log 2 ( )
5
Answer: log 2 7 - log 2 5
x
)
27) log 10 (
1000
Answer: log 10 x - 3
28) log 5 x7
Answer: 7 log 5 x
29) log 2
6
y
Answer:
30) log 3
1
log 2 y
6
x3
y7
Answer: 3 log 3 x - 7 log 3 y
7
31) log 2
x-3
x3
Answer: log 2 (x - 3) - 3 log 2 x
32) log
13x
w 5
Answer: log w 13 + log w x - log w 5
33) log 5 3x
Answer:
1
1
log 5 3 + log 5 x
2
2
x
34) log 2
8
Answer:
35) ln
7
1
log 2 x - 3
2
ey
Answer:
1
1
ln y +
7
7
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single
logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
36) log c t + log c s
Answer: log c (ts)
37) 4 log b m - log b n
Answer: log
m4
b n
38) log 3 54 - log 3 2
Answer: 3
8
39) 3 ln x -
1
ln y
3
Answer: ln
x3
y
40) log 8 (x + 8) - log 8 (x - 4)
x+8
Answer: log 8
x-4
9
Answer Key
Testname: COLLEGE ALGEBRA QUIZ 3
1)
2)
3)
10
Answer Key
Testname: COLLEGE ALGEBRA QUIZ 3
4)
5)
6) 42 = 16
7) 6x = 36
8) b2 = 9
1
= -3
9) log 4
64
1
10) log 8 2 =
3
11) log 6 36 = 2
12) 3
13) 2
14) -2
15) 0
16)
1
2
17) 1
18) 20
19) 15
11
Answer Key
Testname: COLLEGE ALGEBRA QUIZ 3
20)
1
3
21) (-4,
)
22) (- , 9)
23) (- , 2) or (2,
24) 2 + log 2 x
)
25) 3 + log
10 x
26) log 2 7 - log 2 5
27) log
10 x - 3
28) 7 log 5 x
29)
1
log 2 y
6
30) 3 log 3 x - 7 log 3 y
31) log 2 (x - 3) - 3 log 2 x
32) log
w 13 + log w x - log w 5
1
1
33) log 5 3 + log 5 x
2
2
34)
1
log 2 x - 3
2
35)
1
1
ln y +
7
7
36) log (ts)
c
37) log
m4
b n
38) 3
39) ln
x3
y
x+8
40) log 8
x-4
12