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Logarithms Practice Test 2
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© examsnet.com
Question : 12
Total: 39
If
log
4
x
2
(
x
−
a
)
2
−
log
2
(
x
−
1
)
=
1
,
then the value of x will be:
1
2
3
4
Validate
Solution:
log
4
x
2
(
x
−
a
)
2
−
log
2
(
x
−
1
)
=
1
⇒
log
2
2
[
x
(
x
−
1
)
]
2
−
log
2
(
x
−
1
)
=
1
⇒
2
2
log
2
x
(
x
−
1
)
−
log
2
(
x
−
1
)
=
1
⇒
log
2
x
(
x
−
1
)
x
−
1
=
1
⇒
log
2
x
=
1
∴
x
=
2
1
=
2
© examsnet.com
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