WorksheetsExp & Log Test Review
Total questions: 44
Worksheet time: 2hrs 10mins
Name
Class
Date
1.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
2.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
3.
Solve:
log (4x − 5) = log (2x − 1)
log (4x − 5) = log (2x − 1)
a)
0
b)
1
c)
2
d)
3
4.
Solve
a)
A
b)
B
c)
C
d)
D
5.
Solve
a)
A
b)
B
c)
C
d)
D
6.
Condense
a)
A
b)
B
c)
C
d)
D
7.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
8.
Solve
a)
A
b)
B
c)
C
d)
D
9.
Solve
a)
A
b)
B
c)
C
d)
D
10.
Solve
a)
A
b)
B
c)
C
d)
D
11.
Solve for x:
2x - 17 = 15
2x - 17 = 15
a)
2
b)
3
c)
4
d)
5
12.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
13.
Solve the following for exponential equation using logarithms.
9(10)x-10 = 99
9(10)x-10 = 99
a)
11.04
b)
11
c)
1.04
d)
1
14.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
15.
7x=17
a)
x=1.456
b)
x=.687
c)
x=1.546
d)
x=.786
16.
Solve:
log (4x − 5) = log (2x − 1)
log (4x − 5) = log (2x − 1)
a)
0
b)
1
c)
2
d)
3
17.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
18.
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
19.
Expand log6(5x3/y).
a)
log65x3-log6y
b)
log65+log6x3-log6y
c)
log65+3log6x-log6y
20.
Expand
a)
5log5a - 6log5b
b)
5log5a - 30log5b
c)
5log5a + 30log5b
d)
30log5b - 5log5a
21.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
22.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
23.
Solve:
log (4x − 5) = log (2x − 1)
log (4x − 5) = log (2x − 1)
a)
0
b)
1
c)
2
d)
3
24.
Solve:
log22x = -0.65
log22x = -0.65
a)
0.32
b)
0.23
c)
0.45
d)
0.54
25.
Solve:
3x-1 = 81
3x-1 = 81
a)
5
b)
6
c)
9
d)
10
26.
Solve:
log x + log 8 = 2
log x + log 8 = 2
a)
10
b)
12.5
c)
15
d)
17.5
27.
7n+10- 8 = 6
a)
-7.374
b)
-8.643
c)
-7.360
d)
-8.853
28.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
29.
Solve for x:
e2x = 11
e2x = 11
a)
x = (LN 11)/2
b)
x = 2loge11
c)
x = 2eLOG 11
d)
x = LN (11/2)
30.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
31.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
32.
4(x-2)= 64(x+1)
a)
-2/5
b)
-5/2
c)
7/2
d)
2/7
33.
Expand
a)
A
b)
B
c)
C
d)
D
34.
Expand
a)
A
b)
B
c)
C
d)
D
35.
Condense
a)
A
b)
B
c)
C
d)
D
36.
Find the inverse function:
f(x) = 2x
f(x) = 2x
a)
f -1(x) = log2(x)
b)
f -1(x) = logx(2)
c)
f -1(x) = 2x
d)
f -1(x) = x2
37.
Find the inverse function:
f(x) = 10x
f(x) = 10x
a)
f -1(x) = log(x)
b)
f -1(x) = ln(x)
c)
f -1(x) = 10x
d)
f -1(x) = x10
38.
Find the inverse function:
f(x) = log(x)
f(x) = log(x)
a)
f -1(x) = log(x)
b)
f -1(x) = ln(x)
c)
f -1(x) = 10x
d)
f -1(x) = x10
39.
Find the inverse function:
f(x) = ex
f(x) = ex
a)
f -1(x) = log(x)
b)
f -1(x) = ln(x)
c)
f -1(x) = ex
d)
f -1(x) = xe
40.
Find the inverse function:
f(x) = ln(x)
f(x) = ln(x)
a)
f -1(x) = log(x)
b)
f -1(x) = ln(x)
c)
f -1(x) = ex
d)
f -1(x) = xe
41.
Find the inverse of y = 3x/5 + 1
a)
y = log3(x-1)
b)
y = log3(5x-5)
c)
y = 5log3(x-1)
d)
y = 3log5(x-1)
42.
Find the inverse of y = 4log5(x+7)
a)
y = (5x+7)/4
b)
y = 5x - 7
c)
y = 4*5x - 7
d)
y = 5x/4 - 7
43.
Find the inverse of y= 2x-1+3
a)
y = log2(x-3) + 1
b)
y = (x-3)/2 + 1
c)
y = log(x-3) + 1
d)
y = log2(x-1) + 3
44.
Solve:
log4x2 - log4(x-1) = 1
log4x2 - log4(x-1) = 1
a)
4
b)
3
c)
2
d)
1
100 %
