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1
Simple Logarithms
Simple Logarithms
Source:
December 8, 2005
logarithms
number theory
relatively prime
Problem Statement
The number
2
log
4
200
0
6
+
3
log
5
200
0
6
\frac 2{\log_4{2000^6}}+\frac 3{\log_5{2000^6}}
lo
g
4
200
0
6
2
+
lo
g
5
200
0
6
3
can be written as
m
n
\frac mn
n
m
where
m
m
m
and
n
n
n
are relatively prime positive integers. Find
m
+
n
.
m+n.
m
+
n
.
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