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

1.	Given, a = 2x , b = 4y , c = 8z and ac = b2 . Find the relation between x, y and z.
Answer» ac = b² ⇒ 2^x .8^z = (4^y)² ⇒ 2^x .(2³)^z = ((2²)^y)² ⇒ 2^x . 2^3z = 2^4y ⇒ 2^x+3z = 2^4y ⇒ x + 3z = 4y.

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

Answer»

ac = b²

⇒ 2^x .8^z = (4^y)² ⇒ 2^x .(2³)^z = ((2²)^y)² ⇒ 2^x . 2^3z = 2^4y

⇒ 2^x+3z = 2^4y ⇒ x + 3z = 4y.