if a^x=b^y=c^z and a/b=c/b, prove that 2z/x+z=y/x
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take a^x=b^y=c^z=k
then a = k^1/x , b = k^1/y , c = k^1/z
also b^2 = ac
so k^2/y = k^1/x+1/z
equating the above two exponents , we have , 2/y = 1/x + 1/z
i.e 2/y = x+z/xz
or 2z/x+z = y/x
....................hope this helped you.............
then a = k^1/x , b = k^1/y , c = k^1/z
also b^2 = ac
so k^2/y = k^1/x+1/z
equating the above two exponents , we have , 2/y = 1/x + 1/z
i.e 2/y = x+z/xz
or 2z/x+z = y/x
....................hope this helped you.............
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