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MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
24
Logarithm
Logarithm
Source:
March 25, 2006
logarithms
Problem Statement
If
log
M
N
=
log
N
M
\log_MN=\log_NM
lo
g
M
N
=
lo
g
N
M
,
M
≠
N
M\ne N
M
=
N
,
M
N
>
0
MN>0
MN
>
0
,
M
≠
1
M\ne 1
M
=
1
,
N
≠
1
N\ne 1
N
=
1
, then
M
N
MN
MN
equals:
(A)
1
2
(B)
1
(C)
2
(D)
10
(E) a number greater than 2 and less than 10
\text{(A)} \ \frac12 \qquad \text{(B)} \ 1 \qquad \text{(C)} \ 2 \qquad \text{(D)} \ 10 \qquad \text{(E)} \ \text{a number greater than 2 and less than 10}
(A)
2
1
(B)
1
(C)
2
(D)
10
(E)
a number greater than 2 and less than 10
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