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Problem
Problem
If the left hand side of the equation
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
y
+
c
(
a
−
b
)
y
2
=
0
a(b - c)x^2 + b(c - a)xy + c(a - b)y^2 = 0
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
y
+
c
(
a
−
b
)
y
2
=
0
is a perfect square, the value of
{
log
(
a
+
c
)
+
log
(
a
−
2
b
+
c
)
log
(
a
−
c
)
}
2
,
(
a
,
b
,
c
∈
R
+
,
a
>
c
)
is
\left\{ \frac{\log(a + c) + \log(a - 2b + c)}{\log(a - c)} \right\}^2, (a, b, c \in R^+, a > c) \text{ is}
{
lo
g
(
a
−
c
)
lo
g
(
a
+
c
)
+
lo
g
(
a
−
2
b
+
c
)
}
2
,
(
a
,
b
,
c
∈
R
+
,
a
>
c
)
is
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