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Mathematics
Mathematics
Problem
The set of real values of
x
x
x
for which
log
2
x
+
3
x
2
<
log
2
x
+
3
(
2
x
+
3
)
\log_{2x+3} x^2 < \log_{2x+3} (2x+3)
lo
g
2
x
+
3
x
2
<
lo
g
2
x
+
3
(
2
x
+
3
)
is _____. (a)
[
−
3
2
,
−
1
]
\left[-\frac{3}{2}, -1\right]
[
−
2
3
,
−
1
]
(b)
[
−
1
,
3
]
[-1, 3]
[
−
1
,
3
]
(c)
(
−
3
2
,
−
1
)
\left(-\frac{3}{2}, -1\right)
(
−
2
3
,
−
1
)
(d) none of these
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