If a* = bx = c* and b2 = ac.
2xz
Prove that y = -
x+Z
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Stlet us take a^x=b^y=c^z=k
then a=k^1/x, b=k^1/y, c=k^1/z
.Given, b²=ac.
substitute in the value of A B and C that we got
.then you will get
k^2/y=k^(1/x+1/y)
base is same. so we can equate powers
.we get 2/y=1/x+1/y=(x+y)/xy.so y is 2xy/x+y.
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