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Question 96 - Algebra Practice | Prasnya
Q96
00:00
30 Nov 2025
Q96.
Direction of the question: The sum of all possible real values of x for which
log
x
−
3
(
x
2
−
9
)
=
log
x
−
3
(
x
+
1
)
+
2
\log_{x-3}(x^2-9) = \log_{x-3}(x+1) + 2
lo
g
x
−
3
(
x
2
−
9
)
=
lo
g
x
−
3
(
x
+
1
)
+
2
, is
A
−
3
-3
−
3
B
33
\sqrt{33}
33
C
3
+
33
2
\dfrac{3+\sqrt{33}}{2}
2
3
+
33
D
3
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Check
Details
Q96
00:00
30 Nov 2025
Q96.
Direction of the question: The sum of all possible real values of x for which
log
x
−
3
(
x
2
−
9
)
=
log
x
−
3
(
x
+
1
)
+
2
\log_{x-3}(x^2-9) = \log_{x-3}(x+1) + 2
lo
g
x
−
3
(
x
2
−
9
)
=
lo
g
x
−
3
(
x
+
1
)
+
2
, is
A
−
3
-3
−
3
B
33
\sqrt{33}
33
C
3
+
33
2
\dfrac{3+\sqrt{33}}{2}
2
3
+
33
D
3
Save
Check
Details