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Problem
Problem
If
x
1
x_1
x
1
and
x
2
x_2
x
2
are the solutions of the equation
x
log
10
x
=
100
x
x^{\log_{10} x} = 100x
x
l
o
g
10
x
=
100
x
such that
x
1
>
1
x_1 > 1
x
1
>
1
and
x
2
<
1
x_2 < 1
x
2
<
1
, the value of
x
1
x
2
2
\frac{x_1 x_2}{2}
2
x
1
x
2
is
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