Log(b-a)+log(a+b)-log(b2-a2)= – InterviewSolution

1.

Log(b-a)+log(a+b)-log(b2-a2)=

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ANSWER:-

$\sf \log(b - a) + \log(a + b) - \log( {b}^{2} - {a}^{2} )$

$\sf = \log \big( \frac{(b - a)(b + a)}{( {b}^{2} - {a}^{2} )} \big)$

$\sf = \log( \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} - {a}^{2} } )$

$\sf = \log(1)$

$\sf = <klux>0</klux>$

HENCE, the REQUIRED answer is 0.

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