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Mathematics
Problem
If
a
x
=
b
y
=
c
z
a^x = b^y = c^z
a
x
=
b
y
=
c
z
and
b
2
=
a
c
b^2 = ac
b
2
=
a
c
, prove that
y
=
2
x
z
x
+
z
y = \frac{2xz}{x+z}
y
=
x
+
z
2
x
z
.
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