Test:
Logarithms I - Ambitious
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Question 1:
Find
x
, if
2
log
7
(
x
)
+
log
7
(
100
)
=
2
A
x
=
±
7
10
B
x
=
1
C
x
=
7
10
D
x
=
7
Question 2:
Find
x
, if
log
3
2
(
x
)
=
4
A
x
=
1
9
B
x
1
=
9
,
x
2
=
1
9
C
x
=
9
D
x
1
=
4
,
x
2
=
1
4
Question 3:
Find
x
, if
log
3
(
x
2
-
x
-
3
)
=
1
A
x
=
-
2
B
x
=
0
C
x
1
=
3
,
x
2
=
-
2
D
x
=
1
Question 4:
Find
x
, if
log
1
7
(
x
2
-
6
x
+
15
)
=
-
1
A
x
1
=
2
,
x
2
=
4
B
x
=
2
C
x
=
0
D
x
=
1
Question 5:
Find
x
, if
log
2
(
x
512
)
×
log
2
(
x
)
=
-
20
A
x
=
32
B
x
1
=
32
,
x
2
=
16
C
x
1
=
16
,
x
2
=
8
D
x
=
16
Question 6:
Calculate
log
2
(
0.25
)
+
log
2
(
16
)
=
...
A
1
2
B
4
C
1
D
2
Question 7:
Calculate
6
2
log
6
(
3
)
+
log
1
3
(
9
)
=
...
A
2
B
6
C
7
D
4
Question 8:
Calculate
4
log
2
(
3
)
+
10
2
-
log
(
10
)
+
2
log
4
(
4
)
=
...
A
10
B
1
C
21
D
8
Question 9:
Find
x
, if
x
log
3
(
9
)
=
4
A
x
=
2
B
x
=
3
C
x
1
=
2
,
x
2
=
-
2
D
x
1
=
1
,
x
2
=
-
1
Question 10:
Calculate
log
13
(
36
)
, if
log
13
(
3
)
=
a
,
log
13
(
2
)
=
b
A
2
a
+
2
b
B
a
+
b
C
2
a
+
b
D
a
2
b
2
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