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Logs

Total questions: 50

Worksheet time: 3hrs 54mins

Name
Class
Date
1.
Rewrite as an exponential:
log3(9)=2.
a)
39=2
b)
32=9
c)
x2=9
d)
3x=2
2.
Solve for x:
log5(625)=x.
a)
4
b)
2
c)
3
d)
10
3.
Solve for x:
logx(64)=2.
a)
10
b)
4
c)
8
d)
e
4.
Solve for x:
log4(64)=x.
a)
16
b)
10
c)
3
d)
8
5.
Expand
a)
A
b)
B
c)
C
d)
D
6.
Expand
a)
A
b)
B
c)
C
d)
D
7.
Condense
a)
A
b)
B
c)
C
d)
D
8.
Condense
a)
A
b)
B
c)
C
d)
D
9.
Expand
a)
A
b)
B
c)
C
d)
D
10.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
11.
Solve for x:  253x+2=125
a)
-1/6
b)
0
c)
1/6
d)
5
12.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
13.
Solve for x:
8x+1= 3
a)
0.528
b)
0.893
c)
-0.472
d)
1.893
14.
Condense.
a)
A
b)
B
c)
C
d)
D
15.
Expand.
a)
A
b)
B
c)
C
d)
D
16.
6252m-1 = 125-2m+2
a)
0
b)
-5
c)
5/7
d)
7
17.
4(x-2)= 64(x+1)
a)
-2/5
b)
-5/2
c)
7/2
d)
2/7
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
Rewrite the equation into logarithmic form:
62 = 36
a)
log6 2 = 36
b)
log6 36 = 2
c)
ln 36 = 2
d)
636 = 2
22.
Rewrite the equation in exponential form:
log9 1/81 = -2
a)
ln -2 = 1/81
b)
-21/81 = 9
c)
9-2 = 1/81
d)
91/81 = -2
23.
Rewrite the equation in exponential form:
 logvn = a
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
24.
Evaluate the expression:
log3 1/243
a)
1/5
b)
-5
c)
-1/5
d)
5
25.
Evaluate the expression:
log343 7
a)
3
b)
-3
c)
49
d)
1/3
26.
Solve:
log3 (x - 3) = 4
a)
x = 78
b)
x = 6
c)
x = 84
d)
x = x = 7
27.
Solve:
102 - 2b = 60
a)
x = .1109
b)
x = -29
c)
x = 2.7782
d)
x = -.8817
28.
Solve:
log (4p - 2) = log (-5p + 5)
a)
p = 9/7
b)
p = -7/9
c)
p = -7
d)
p = 7/9
29.
Solve:
-2log5 7x = 2
a)
x = -1/7
b)
x = 1.8899
c)
x = 1/35
d)
x = -5/7
30.
 Expand logarithm
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
31.
Condense logarithm
a)
log8(x6)/log8(y3)
b)
log8(x6/y3)
c)
log8(x/y3)
d)
log8(x6y3)
32.
Expand logarithm
a)
log7x + log7y + 4log7z
b)
4log7x + 4log7y + 4log7z
c)
log7x - log7y - 4log7z
d)
4log7x - 4log7y - 4log7z
33.
Condense logarithm
a)
15log8u + 3log8v
b)
15log8u - 3log8v
c)
log8(u15/v3)
d)
log8u15v3
34.
Expand logarithm
a)
4log4u - 16log4v
b)
4logu + 16logv
c)
4logu - 4logv
d)
4logu - 16logv
35.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
36.
log525 = ?
a)
2
b)
5
c)
125
37.
log381 = 
a)
2
b)
3
c)
4
d)
5
38.
Change to Logarithmic Form:
122 = 144
a)
log 2 144 = 12
b)
log 12 144 = 2
c)
log 12 2 = 144
d)
log 2 12 = 144
39.
Condense
a)
A
b)
B
c)
C
d)
D
40.
Condense
a)
A
b)
B
c)
C
d)
D
41.
Condense
a)
A
b)
B
c)
C
d)
D
42.
Condense
a)
A
b)
B
c)
C
d)
D
43.
Expand
a)
A
b)
B
c)
C
d)
D
44.
Expand
a)
A
b)
B
c)
C
d)
D
45.
2(x+3) = 512
a)
9
b)
6
c)
5
d)
7
46.
a)
A
b)
B
c)
C
d)
D
47.
Solve for x:
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
48.
Sovle for x:
5-3x - 1 = 125
a)
-4/3
b)
-4
c)
-3
d)
-9/5
49.
Rewrite in exponential form. log4(64)=3
a)
34=64
b)
43=64
c)
643=4
d)
644=3
50.
Expand
a)
A
b)
B
c)
C
d)
D