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MAA AMC
AMC 12/AHSME
1959 AMC 12/AHSME
11
Converting fraction into power of $2$
Converting fraction into power of $2$
Source: 1959 AMC 12 Problem 11
August 13, 2013
logarithms
AMC
logarithm
AMC 12
Problem Statement
The logarithm of
.
0625
.0625
.0625
to the base
2
2
2
is:
<
s
p
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c
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a
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=
′
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a
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−
b
o
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>
(
A
)
<
/
s
p
a
n
>
.
025
<
s
p
a
n
c
l
a
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=
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a
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x
−
b
o
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>
(
B
)
<
/
s
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a
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>
.
25
<
s
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c
l
a
s
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=
′
l
a
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x
−
b
o
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′
>
(
C
)
<
/
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a
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>
5
<
s
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a
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c
l
a
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s
=
′
l
a
t
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x
−
b
o
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>
(
D
)
<
/
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a
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−
4
<
s
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c
l
a
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=
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a
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x
−
b
o
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>
(
E
)
<
/
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>
−
2
<span class='latex-bold'>(A)</span>\ .025 \qquad<span class='latex-bold'>(B)</span>\ .25\qquad<span class='latex-bold'>(C)</span>\ 5\qquad<span class='latex-bold'>(D)</span>\ -4\qquad<span class='latex-bold'>(E)</span>\ -2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
.025
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
.25
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
−
4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
−
2
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