Search for: [Abstrakt = "The study shows that the functional equation f \(f \(x\)\) = ln\(1 \+ x\) has a unique result in a semigroup of power series with the intercept equal to 0 and the function composition as an operation. This function is continuous, as per the work of Paulsen \[2016\]. This solution introduces into statistics the law of the one\-and\-a\-half logarithm. Sometimes the natural growth processes do not yield to the law of the logarithm, and a double logarithm weakens the growth too much. The law of the one\-and\-a\-half logarithm proposed in this study might be the solution"]

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