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WorksheetsUnit 5 Retest Practice. Must get at least 85% to retest
Total questions: 100
Worksheet time: 4hrs 28mins
Name
Class
Date
1.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
2.
Rewrite log28 = 3 in exponential form/
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
3.
log525 = ?
a)
2
b)
5
c)
125
4.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
5.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
6.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
7.
Evaluate: log93
a)
½
b)
-½
c)
2
d)
-2
8.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
9.
Solve for x:
logx 25 = 2
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
10.
Solve for x:
log4 x = 3
log4 x = 3
a)
4
b)
12
c)
32
d)
64
11.
log (2 * 3) = ?
a)
log 2 + log 3
b)
log 2 * log 3
c)
log 2 - log 3
d)
log 5
12.
log (2 / 3) = ?
a)
log 2 + log 3
b)
log 2 / log 3
c)
log 2 - log 3
d)
2/3 * log 1
13.
log (32) =?
a)
log 6
b)
2 log 3
c)
log2 3
d)
log3 2
14.
log (a * b) = ?
a)
log a * log b
b)
log a + log b
c)
log a - log b
d)
a*log b
15.
log (a / b) = ?
a)
log a - log b
b)
log a / log b
c)
loga b
d)
logb a
16.
log (a2 * b) = ?
a)
2log(a) + log(b)
b)
2log(a) + 2log(b)
c)
log(a) + log(b)
d)
2log(a) * log(b)
17.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
18.
Rewrite in exponential form:
2=log9x
2=log9x
a)
9x=2
b)
2x=9
c)
29=x
d)
92=x
19.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
20.
a)
2ln(xyz)
b)
ln(x) + ln(y) + ln(z)
c)
ln(x) - ln(y) - 2ln(z)
d)
ln(x) + ln(y) + 2ln(z)
21.
a)
6log8(xyz)
b)
log8(x) - log8(y) - 6log8(z)
c)
log8(x) + log8(y) - log8(z)
d)
log8(x) + log8(y) + 6log8(z)
22.
a)
log (xy3)
b)
log (x6 − y3)
c)
log (x6/y3)
d)
log (x6 + y3)
23.
a)
ln(wvu5)
b)
ln(u + v + w5)
c)
ln(uvw5)
d)
ln(uvw)5
24.
Expand it: ln x5
a)
5⋅lnx
b)
ln x5
c)
5÷ ln x
d)
5 + ln x
25.
Condense the following logarithm: lnx + ln4
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
26.
Expand log(x²/y³). Choose the best answer.
a)
log x²+log y³
b)
2 log x + 3 log y
c)
log x + log y
d)
2log x² +3 logy³
27.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
Condense
a)
logxyz3
b)
log(xy/z3)
c)
logx+logy+logz3
d)
logx3y3z3
33.
Expand
a)
log8x+log8y+log8z
b)
5log8x+5log8y+5log8z
c)
log8xy+5log8z
d)
log8x+log8y+5log8z
34.
Expand
a)
A
b)
B
c)
C
d)
D
35.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
36.
Expand the following logarithm:
log3 10z
log3 10z
a)
log3 10 - log3 z
b)
log3 10 + log3 z
c)
zlog3 10
d)
log3 z10
37.
Expand the following logarithm:
log2 5x.
log2 5x.
a)
log2 5 - log2 x
b)
log2 5 + log2 x
c)
2log 5 + 2log x
d)
log5 2 + logx 2
38.
Condense the following logarithm: lnx + ln4
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
39.
Condense the following logarithm: lnx + ln4
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
40.
Quale dei seguenti logaritmi è uguale a log2 10-log2 5?
a)
1
b)
log2 5
c)
log2 4
d)
log2 8
41.
Quale dei seguenti numeri è il doppio di log3 5?
a)
log3 10
b)
log6 10
c)
log6 5
d)
log3 25
42.
Solve log(x+3) + log(8 - x) = 1.
a)
x = 7
b)
x = 2 or x = -7
c)
x = -2
d)
x = 7 or x = -2
43.
Write the following equation in logarithmic form:
35 = 243
35 = 243
a)
log35 = 243
b)
log2433 = 5
c)
log5243 = 3
d)
log3243 = 5
44.
Write the following equation in exponential form:
log232 = 5
log232 = 5
a)
25 = 32
b)
232 = 5
c)
52 = 32
d)
322 = 5
45.
Write the following equation in exponential form:
log2⅛ = -3
log2⅛ = -3
a)
2⅛ = -3
b)
(⅛)-3 = 2
c)
2-3 = ⅛
d)
(-3)⅛ = 2
46.
Find the inverse of y=5x-8
a)
y=log5(x-8)
b)
y=log5(x+8)
c)
y=log8(x-5)
d)
y=log8(x+5)
47.
Find the inverse of the equation
a)
2(x-9)+5=y
b)
2(x+9)-5=y
c)
5(x-9)-5=y
48.
Find the inverse of the equation
a)
y=2(x+9)-5
b)
y=2(x-9)-5
c)
y=2(x+9)+5
d)
y=2(x+5)-9
49.
a)
-5
b)
-2
c)
4
d)
5
50.
a)
-5
b)
-2
c)
4
d)
5
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
Write as a single log:
log 12 + 2 log x
log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
55.
Expand.
a)
A
b)
B
c)
C
d)
D
56.
Write in expanded log form: log (x2/4)
a)
log 2x - log 4
b)
2 log x - log 4
c)
log x2 / log 4
d)
2 log x + log 4
57.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
58.
Condense
a)
A
b)
B
c)
C
d)
D
59.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
60.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
61.
Condense
a)
4log3x-4log3y
b)
log3(x4/y4)
c)
log3(x4y4)
d)
log3(x4) - log3(y4)
62.
Condense
a)
log8(a18/b3)
b)
log8(a18b3)
c)
log8(a/b3)
d)
15log8(a/b3)
63.
Condense.
a)
A
b)
B
c)
C
d)
D
64.
Condense
a)
logxyz3
b)
log(xy/z3)
c)
logx+logy+logz3
d)
logx3y3z3
65.
Condense
a)
log8(a18/b3)
b)
log8(a18b3)
c)
log8(a/b3)
d)
15log8(a/b3)
66.
Condense
a)
A
b)
B
c)
C
d)
D
67.
Condense
a)
15log8u + 3log8v
b)
15log8u - 3log8v
c)
log8(u15/v3)
d)
log8u15v3
68.
Expand.
a)
A
b)
B
c)
C
d)
D
69.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
70.
Expand
a)
log8x+log8y+log8z
b)
5log8x+5log8y+5log8z
c)
log8xy+5log8z
d)
log8x+log8y+5log8z
71.
Expand.
a)
A
b)
B
c)
C
d)
D
72.
Expand.
a)
A
b)
B
c)
C
d)
D
73.
Expand
a)
log7x + log7y + 4log7z
b)
4log7x + 4log7y + 4log7z
c)
log7x - log7y - 4log7z
d)
4log7x - 4log7y - 4log7z
74.
Expand
a)
5log5a - 6log5b
b)
5log5a - 30log5b
c)
5log5a + 30log5b
d)
30log5b - 5log5a
75.
Expand
a)
4log4u - 16log4v
b)
4logu + 16logv
c)
4logu - 4logv
d)
4logu / 16logv
76.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
77.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
78.
A colony of termites is growing continuously at a rate of 6.2% monthly. If the colony starts with 500, how many would there be in one year?
a)
1.02 E 35 (huge amount)
b)
1052
c)
246375
d)
532
79.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
80.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
81.
Rewrite as a single log:
4 log g - 2 log h
4 log g - 2 log h
a)
log (4g/2h)
b)
log (g4/h2)
c)
log (g4 - h2)
d)
log (2gh)
82.
log2(x + 2) + log2x = 3
a)
-4, 2
b)
-2, 4
c)
2 ; -4 is extraneous
d)
1 ; -3 is extraneous
83.
a)
150
b)
-18
c)
85
d)
11
84.
a)
4, -5
b)
9, -5
c)
9
d)
9, 5
85.
a)
6
b)
3, 6
c)
6, 0
d)
0
86.
a)
14
b)
81/8
c)
18
d)
9969
87.
Solve: 98-x = 27x-3
a)
x = 5
b)
x = -5
c)
x = 1/5
d)
x = -1/5
88.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
89.
Solve for n:
2-2n = 26
2-2n = 26
a)
n = -1
b)
n = -7
c)
n = 5
d)
n = -3
90.
Solve for x:
122x-10 = 1
122x-10 = 1
a)
1
b)
10
c)
-5
d)
5
91.
20v+4 = 85 round to the nearest tenth
a)
-2.5
b)
-2
c)
3.5
d)
4
92.
115n = 72 round to the nearest tenth
a)
0.4
b)
0.5
c)
1.5
d)
-2
93.
e-3n-9 = 92 round to the nearest tenth
a)
-2.5
b)
-2
c)
-4
d)
-4.5
94.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
95.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
96.
Name this person
a)
Michelle Obama
b)
Aretha Franklin
c)
Beyonce
d)
Mariah Carey
97.
To solve 36 = 6x, re-write 36 as what base and exponent?
a)
36
b)
63
c)
62
d)
66
98.
Which expression is equivalent to: 8x+4
a)
23x+4
b)
23x+12
c)
42x+4
d)
42x+8
99.
53-2n = 125
a)
0
b)
5
c)
1
d)
5/3
100.
115n = 72 round to the nearest tenth
a)
0.4
b)
0.5
c)
1.5
d)
-2
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