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If Log (A + B) = Log a + Log B, Find a in Terms of B - Mathematics

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प्रश्न

If log (a + b) = log a + log b, find a in terms of b.

योग

उत्तर

log  ( a + b ) = log a + log b

⇒ log ( a + b ) = log ab

⇒ a + b= ab

⇒ a - ab = - b

⇒ - ab + a = - b

⇒ - a ( b - 1 ) = - b 

⇒ a ( b -1 ) = b

⇒ a = ` ( b ) / ( b - 1) `

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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 (C) [पृष्ठ १०८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 8 Logarithms
Exercise 8 (C) | Q 7 | पृष्ठ १०८
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