1.

Show that, log |\(\sqrt{x^2+1}+x\)| + log|\(\sqrt{x^2+1}-x\)| = 0

Answer»

L.H.S. = log \(|\sqrt{x^2+1}+x|+log|\sqrt{x^2+1}-x|\) 

= log|(\(\sqrt{x^2+1}+x\))(\(\sqrt{x^2+1}-x\))|

 = log|x2 + 1 - x2|

 = log 1

 = 0

= R.H.S.



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