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4
2018 November Team #4
2018 November Team #4
Source:
November 13, 2018
Problem Statement
Let
a
a
a
and
b
b
b
be real numbers greater than 1 such that
a
b
=
100
ab=100
ab
=
100
. The maximum possible value of
a
(
log
10
b
)
2
a^{(\log_{10}b)^2}
a
(
l
o
g
10
b
)
2
can be written in the form
1
0
x
10^x
1
0
x
for some real number
x
x
x
. Find
x
x
x
.
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