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National and Regional Contests
India Contests
ISI Entrance Examination
2013 ISI Entrance Examination
1
minimum value of S, ISI 2013
minimum value of S, ISI 2013
Source:
May 12, 2013
logarithms
Problem Statement
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be real number greater than
1
1
1
. Let
S
=
log
a
b
c
+
log
b
c
a
+
log
c
a
b
S=\log_a {bc}+\log_b {ca}+\log_c {ab}
S
=
lo
g
a
b
c
+
lo
g
b
c
a
+
lo
g
c
ab
Find the minimum possible value of
S
S
S
.
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