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If A^x=B^y=c^z and a^2=bc then z equal to​

Answer»

Let, a^x=b^y=c^z=K then expressing a, b, c in TERMS of k we have, k^1/x=a, k^1/y=b, k^1/z=c. Putting in SECOND EQUATION we GET, k^2/x=k^1/y.k^1/z

k^2/x=k^1y+1/z

2/x=1/y+1/z

On solving further we have, z=xy/2-x(writing z in terms of x, y, constants).



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