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2
HMMT Algebra/NT 2019/2: Simple exponent manipulation
HMMT Algebra/NT 2019/2: Simple exponent manipulation
Source:
February 17, 2019
HMMT
algebra
Problem Statement
Let
N
=
2
(
2
2
)
N = 2^{\left(2^2\right)}
N
=
2
(
2
2
)
and
x
x
x
be a real number such that
N
(
N
N
)
=
2
(
2
x
)
N^{\left(N^N\right)} = 2^{(2^x)}
N
(
N
N
)
=
2
(
2
x
)
. Find
x
x
x
.
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