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Given, a = 2x , b = 4y , c = 8z and ac = b2 . Find the relation between x, y and z.

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ac = b2

⇒ 2x .8z = (4y)2 ⇒ 2x .(23)z = ((22)y)2 ⇒ 2x . 23z = 24y 

⇒ 2x+3z = 24y ⇒ x + 3z = 4y.

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