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MAA AMC
AMC 10
2016 AMC 10
2
Powers of 10
Powers of 10
Source: 2016 AMC 10A #2
February 3, 2016
AMC
AMC 10
AMC 10 A
Problem Statement
For what value of
x
x
x
does
1
0
x
⋅
10
0
2
x
=
100
0
5
10^{x}\cdot 100^{2x}=1000^{5}
1
0
x
⋅
10
0
2
x
=
100
0
5
?
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(
A
)
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1
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(
B
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2
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(
C
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3
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(
D
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4
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(
E
)
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<span class='latex-bold'>(A)</span>\ 1 \qquad<span class='latex-bold'>(B)</span>\ 2\qquad<span class='latex-bold'>(C)</span>\ 3\qquad<span class='latex-bold'>(D)</span>\ 4\qquad<span class='latex-bold'>(E)</span>\ 5
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A
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1
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(
B
)
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2
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>
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C
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3
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>
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D
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4
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′
>
(
E
)
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>
5
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