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

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प्रश्न

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

योग

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Logarithms - Exercise 10.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 10 Logarithms
Exercise 10.2 | Q 20
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