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Mathematics

If 2 log y - log x - 3 = 0, express x in terms of y.

Logarithms

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Answer

Given,

⇒ 2 log y - log x - 3 = 0

⇒ 2 log y - log x = 3

⇒ log y2 - log x = 3

⇒ log y2x\dfrac{y^2}{x} = 3

y2x=103\dfrac{y^2}{x} = 10^3

⇒ y2 = x.103

⇒ x = y2103=y21000\dfrac{y^2}{10^3} = \dfrac{y^2}{1000}.

Hence, y = y21000\dfrac{y^2}{1000}.

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