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AIME Problems
1988 AIME Problems
3
Nested logs
Nested logs
Source:
March 17, 2006
logarithms
AMC
AIME
Problem Statement
Find
(
log
2
x
)
2
(\log_2 x)^2
(
lo
g
2
x
)
2
if
log
2
(
log
8
x
)
=
log
8
(
log
2
x
)
\log_2 (\log_8 x) = \log_8 (\log_2 x)
lo
g
2
(
lo
g
8
x
)
=
lo
g
8
(
lo
g
2
x
)
.
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