If 2 Log Y - Log X - 3 = 0, Express X in Terms of Y - Mathematics

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

Sum

2 log y - log x - 3 = 0

⇒ 2 log y - log x = 3

⇒ log y² - log x = 3

⇒ log y² - log x = log 1000

⇒ log ` ( y^2 )/( x ) ` = log 1000

⇒ ` ( y^2 )/( x ) ` = 1000

⇒ x = ` ( y^2 ) / ( 1000 ) `

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (C) [Page 108]

Chapter 8 Logarithms
Exercise 8 (C) | Q 9.2 | Page 108

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