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Byju's Answer
Standard XI
Mathematics
Some Algebraic Implications of Inequalities
Let a=log3 lo...
Question
Let
a
=
log
3
log
3
2
.
An integer k satisfying
1
<
2
(
−
k
+
3
−
a
)
<
2
,
is
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Solution
a
=
log
3
log
3
2
⇒
3
a
=
log
3
2
⇒
3
−
a
=
1
log
3
2
=
log
2
3
Now
,
1
<
2
(
−
k
+
3
−
a
)
<
2
⇒
1
<
2
(
−
k
+
log
2
3
)
<
2
⇒
1
<
2
−
k
⋅
3
<
2
⇒
1
3
<
2
−
k
<
2
3
⇒
3
2
<
2
k
<
3
⇒
log
2
3
2
<
k
<
log
2
3
Hence
,
the
integral
value
of
k
is
1
.
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Q.
Let
a
=
log
3
log
3
2
.
An integer k satisfying
1
<
2
(
−
k
+
3
−
a
)
<
2
,
is