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

2log - logx - 3 = 0
⇒ logx = 2logy - 3
⇒ logx = logy²- 3log10 ...[∵ log10 = 1]
⇒ logx = logy²- log10³
⇒ logx = `"log"(y^2/1000)`
∴ x = `y^2/(1000)`.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

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