If a^x = b^y = c^z and b^2 = ac, prove that : y = 2xz/x+z .

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Given, ⇒ a^x = b^y = c^z = k (let) ⇒ a^x = k ⇒ a = ........(1) ⇒ b^y = k ⇒ b = ........(2) ⇒ c^z = k ⇒ c = ........(3) Given, ⇒ b² = ac Substituting values of a, b and c in above equation, we get : Hence, proved that

Mathematics

If a^x = b^y = c^z and b^2 = ac, prove that : y = 2xz/x+z .

Indices

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Mathematics

If a^x = b^y = c^z and b^2 = ac, prove that : y = 2xz/x+z .

Indices

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