Problema Solution

Rewrite the expression

(2 log x) - (5 log (x^2+1)) +(4 log (x-1))

as a single logarithm \log A. Then the function

A=

Answer provided by our tutors

(2 log x) - (5 log (x^2+1)) +(4 log (x-1)) =


= log x^2 - (log (x^2+1)^5 + log (x-1)^4) =


= log x^2 - log ((x^2+1)^5 (x-1)^4) =


= log x^2/((x^2+1)^5 (x-1)^4)