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

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प्रश्न

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

योग

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Logarithms - Exercise 8 (B) [पृष्ठ १०७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 8 Logarithms
Exercise 8 (B) | Q 14 | पृष्ठ १०७
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