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Purple Comet Problems
2009 Purple Comet Problems
6
Purple Comet 2009 MS Problem 6
Purple Comet 2009 MS Problem 6
Source:
April 16, 2012
Problem Statement
Find
n
n
n
such that
2
0
2009
=
1
0
2000
⋅
4
0
9
⋅
2
n
20^{2009}=10^{2000}\cdot 40^9\cdot 2^n
2
0
2009
=
1
0
2000
⋅
4
0
9
⋅
2
n
.
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