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2010 Malaysia National Olympiad
2
OMK 2010
OMK 2010
Source: Malaysia National Olympiad 2010 Sulung Category Problem 2
June 4, 2011
logarithms
algebra unsolved
algebra
Problem Statement
Find
x
x
x
such that
201
0
log
10
x
=
1
1
log
10
(
1
+
3
+
5
+
⋯
+
4019
)
.
2010^{\log_{10}x}=11^{\log_{10}(1+3+5+\cdots +4019).}
201
0
l
o
g
10
x
=
1
1
l
o
g
10
(
1
+
3
+
5
+
⋯
+
4019
)
.
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