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Solve for x: log(x - 1) + log (x + 1) = log21 - Mathematics

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प्रश्न

Solve for x:

log(x - 1) + log (x + 1) = log21

योग

उत्तर

log (x - 1) + log(x + 1) = log21

⇒ log [(x - 1) (x + 1)] = 0

⇒ log [(x2 - 1)] = log 1

⇒ x2 - 1 = 1

⇒ x2 = 1 + 1

⇒ x= 2

⇒ x = `+- sqrt2`

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Interchanging Logarithmic and Exponential Forms
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Logarithms - Exercise 8 (A) [पृष्ठ १०४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 8 Logarithms
Exercise 8 (A) | Q 11 | पृष्ठ १०४
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