WorksheetsQuiz #5 - Algebra 2
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
2.
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
3.
Condense
a)
A
b)
B
c)
C
d)
D
4.
Expand
a)
A
b)
B
c)
C
d)
D
5.
Condense
a)
A
b)
B
c)
C
d)
D
6.
a)
log5(x2z2y10)
b)
log5(z2y2x10)
c)
log(zy2x10)
d)
log5(z2 + y2 + x10)
7.
a)
6log8(xyz)
b)
log8(x) - log8(y) - 6log8(z)
c)
log8(x) + log8(y) - log8(z)
d)
log8(x) + log8(y) + 6log8(z)
8.
a)
log (a5 + b25)
b)
log (a5 − b25)
c)
log (ab25)
d)
log (a5/b25)
9.
Condense
a)
A
b)
B
c)
C
d)
D
10.
Condense
a)
logxyz3
b)
log(xy/z3)
c)
logx+logy+logz3
d)
logx3y3z3
11.
a)
log(x) + log(z) + 4log(y)
b)
3log(x) − log(z) − 4log(y)
c)
3log(x) + log(z) + 4log(y)
d)
log(x) − 4log(z) − 3log(y)
12.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
13.
Expand
a)
A
b)
B
c)
C
d)
D
14.
Expand
a)
A
b)
B
c)
C
d)
D
15.
Use properties to simplify: log334
a)
3
b)
4
c)
1
d)
0
16.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
17.
log2(x + 2) + log2x = 3
a)
-4, 2
b)
-2, 4
c)
2
d)
1
18.
a)
x = 5 and x = -2
b)
x = -2
c)
x = 5
d)
x = -10 and x = 10
19.
Solve
a)
no solution
b)
6
c)
6 and -2
d)
3
20.
Solve
a)
A
b)
B
c)
C
d)
D
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