Logarithms

Reduce the following expression to a single term:

    \[\ln{\sqrt{x^{2}-1}}+\frac{1}{2}\ln{\left(\frac{x+1}{x-1}\right)}\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 2a, Question 6(v), p. 22)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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