MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
2015 AMC 12/AHSME
8
Misplaced Logarithm Question
Misplaced Logarithm Question
Source: 2015 AMC12B #8
February 26, 2015
logarithms
AMC
Problem Statement
What is the value of
(
62
5
log
5
2015
)
1
4
(625^{\log_{5}{2015}})^{\frac{1}{4}}
(
62
5
l
o
g
5
2015
)
4
1
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
5
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
2015
4
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
625
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
2015
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
5
2015
4
<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>\sqrt[4]{2015}\qquad<span class='latex-bold'>(C) </span>625\qquad<span class='latex-bold'>(D) </span>2015\qquad<span class='latex-bold'>(E) </span>\sqrt[4]{5^{2015}}
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
4
2015
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
625
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
2015
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
4
5
2015
Back to Problems
View on AoPS