Given 3log X + 1/2log Y = 2, Express Y in Term of X. - Mathematics

Given 3log x + `1/2`log y = 2, express y in term of x.

Sum

3log x + `1/2`log y = 2
⇒ log x³ + log√y = 2
⇒ log x³√y = 2
⇒ x³√y = 10²⇒ √y = `10^2/x^3`
Squaring both sides, we get
y = `10000/x^6`

⇒ y = `10000x^-6`

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (B) [Page 107]

Chapter 8 Logarithms
Exercise 8 (B) | Q 14 | Page 107

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