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

Question

If $2 lo g y - lo g x - 3 = 0$ express $x$ in terms of $y .$

x^{2} = 1000 y

x^{2} = \frac{y ^{2}}{e ^{3}}

y^{2} = \frac{x}{1000}

y^{2} = 1000 x

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Noah Discussed

2 lo g y - lo g x - 3 = 0

express

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y .

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Text solutionVerified

Given:

2 lo g y - lo g x - 3 = 0

lo g y^{2} - lo g x - 3 lo g e = 0

.......

(lo g e = 1)

lo g y^{2} - lo g x - lo g e^{3} = 0

lo g x = lo g y^{2} - lo g e^{3} = lo g (\frac{y ^{2}}{e ^{3}})

x = \frac{y ^{2}}{e ^{3}}

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Question Text	If $2 lo g y - lo g x - 3 = 0$ express $x$ in terms of $y .$
Answer Type	Text solution:1
Upvotes	150