Test:
Logarithms II - Challenging
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Question 1:
Find
x
:
2
=
log
8
x
A
256
B
49
C
16
D
64
Question 2:
Find
x
:
x
=
log
3
243
A
9
B
5
C
27
D
81
Question 3:
Solve
log
2
8
+
log
8
2
A
4
B
16
C
3
1
3
D
1
Question 4:
Express
log
7
x
as multiple of
log
10
x
A
log
10
x
log
3
x
B
log
10
x
log
3
x
C
log
10
x
−
log
3
x
D
log
10
x
log
7
10
Question 5:
Express
log
4
17
in terms of the logarithms base
10
A
log
10
4
/
log
10
17
B
4
log
10
17
C
17
log
10
4
D
log
10
17
/
log
10
4
Question 6:
Simplify
3
log
a
2
x
+
2
log
a
x
2
−
6
log
a
x
A
2
log
a
x
B
−
log
a
(
x
−
x
2
)
C
log
a
8
x
D
log
a
6
x
2
Question 7:
Simplify
2
log
a
1
2
x
−
log
a
3
x
+
2
log
a
2
x
A
log
a
(
x
3
3
)
B
log
a
4
3
x
2
C
3
log
a
x
D
log
a
3
4
x
3
Question 8:
Find
x
:
6
log
a
x
1
3
−
log
a
2
x
=
2
log
a
x
A
x
=
2
B
x
=
1
2
C
x
=
2
D
x
=
1
Question 9:
Find
x
:
12
log
12
5
=
x
A
x
=
1
5
B
x
=
5
C
x
=
12
D
x
=
4
Question 10:
Find
y
in terms of
x
:
2
log
a
x
+
3
log
a
y
=
3
log
a
2
x
+
3
log
a
y
A
y
=
3
x
5
B
y
=
4
x
2
3
C
y
=
1
4
x
3
D
y
=
1
2
x
4
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