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2011f.00573 Nyblom, M.A. Another proof of Carlson's infinite product expansion for $\ln(x)$. Math. Spectrum 44, No. 1, 39-41 (2011-2012). 2011 Applied Probability Trust c/o School of Mathematics and Statistics, University of Sheffield, Sheffield EN I30 I20 analysis logarithmic mean hyperbolic tangent function Summary: By employing the hyperbolic tangent function and the logarithmic form of its inverse, an alternative proof is presented for an infinite product expansion of the natural logarithm function.