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c^{log_{b}a}+a^{log_{c}b} (HOMC 2006 Q3)
c^{log_{b}a}+a^{log_{c}b} (HOMC 2006 Q3)
Source:
July 23, 2019
algebra
logarithms
Problem Statement
Suppose that
a
log
b
c
+
b
log
c
a
=
m
a^{\log_{b}c}+b^{\log_{c}a}=m
a
l
o
g
b
c
+
b
l
o
g
c
a
=
m
. Find the value of
c
log
b
a
+
a
log
c
b
c^{\log_{b}a}+a^{\log_{c}b}
c
l
o
g
b
a
+
a
l
o
g
c
b
.
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