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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1982 AMC 12/AHSME
13
13
Part of
1982 AMC 12/AHSME
Problems
(1)
Logarithms
Source:
1/16/2006
If
a
>
1
a>1
a
>
1
,
b
>
1
b>1
b
>
1
, and
p
=
log
b
(
log
b
a
)
log
b
a
p=\frac{\log_b(\log_ba)}{\log_ba}
p
=
l
o
g
b
a
l
o
g
b
(
l
o
g
b
a
)
, then
a
n
a^n
a
n
equals
(A)
1
(B)
b
(C)
log
a
b
(D)
log
b
a
(E)
a
log
b
a
\textbf {(A) } 1 \qquad \textbf {(B) } b \qquad \textbf {(C) } \log_ab \qquad \textbf {(D) } \log_ba \qquad \textbf {(E) } a^{\log_ba}
(A)
1
(B)
b
(C)
lo
g
a
b
(D)
lo
g
b
a
(E)
a
l
o
g
b
a
logarithms