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Problem
Problem
Statement-1 The equation
x
log
x
(
1
−
x
)
2
=
9
x^{\log_x(1-x)^2} = 9
x
l
o
g
x
(
1
−
x
)
2
=
9
has two distinct real solutions. Statement-2
a
log
a
b
=
b
a^{\log_a b} = b
a
l
o
g
a
b
=
b
, when
a
>
0
a > 0
a
>
0
,
a
≠
1
a \neq 1
a
=
1
,
b
>
0
b > 0
b
>
0
.
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