Question

If a^x = b^y = c^z and b^2 = ac then show that y = 2xz/x+z

Answer 1

a^x=b^y=c^z=k(let)
a=k^1/x, b=k^1/y, c=k^1/z
given b^2=ac
k^2/y=k^(1/x+1/z)
2/y=1/x+1/z
2/y=(x+z)/xz
y=2xz/(x+z)



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