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Problem
Problem
If
x
,
y
∈
R
+
x, y \in \mathbb{R}^+
x
,
y
∈
R
+
and
log
10
(
2
x
)
+
log
10
y
=
2
\log_{10}(2x) + \log_{10} y = 2
lo
g
10
(
2
x
)
+
lo
g
10
y
=
2
and
log
10
x
2
−
log
10
(
2
y
)
=
4
\log_{10} x^2 - \log_{10}(2y) = 4
lo
g
10
x
2
−
lo
g
10
(
2
y
)
=
4
and
x
+
y
=
m
n
x + y = \frac{m}{n}
x
+
y
=
n
m
, where
m
m
m
and
n
n
n
are relatively prime, the value of
m
−
3
n
6
m - 3n^6
m
−
3
n
6
is
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