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AMC 12/AHSME
1966 AMC 12/AHSME
9
Log Powers
Log Powers
Source:
March 9, 2006
logarithms
Problem Statement
If
x
=
(
log
8
2
)
(
log
2
8
)
x=(\log_82)^{(\log_28)}
x
=
(
lo
g
8
2
)
(
l
o
g
2
8
)
, then
log
3
x
\log_3x
lo
g
3
x
equals:
(A)
−
3
(B)
−
1
3
(C)
1
3
(D)
3
(E)
9
\text{(A)} \ -3 \qquad \text{(B)} \ -\frac13 \qquad \text{(C)} \ \frac13 \qquad \text{(D)} \ 3 \qquad \text{(E)} \ 9
(A)
−
3
(B)
−
3
1
(C)
3
1
(D)
3
(E)
9
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