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