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Problem
Problem
Statement-1
The equation
7
log
7
(
x
3
+
1
)
−
x
2
=
1
7^{\log_7(x^3+1)} - x^2 = 1
7
l
o
g
7
(
x
3
+
1
)
−
x
2
=
1
has two distinct real roots.
Statement-2
a
log
a
N
=
N
a^{\log_a N} = N
a
l
o
g
a
N
=
N
, where
a
>
0
a > 0
a
>
0
,
a
≠
1
a \neq 1
a
=
1
and
N
>
0
N > 0
N
>
0
.
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