Chapter 4.6, Problem 29AYU

In Problems 5 – 40, solve each logarithmic equation. Express any irrational solution in exact form and as a decimal rounded to three decimal places.

${\log }_{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}\left(x^2+x\right)-{\log }_{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}\left(x^2-x\right)=-1$