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