Question 879102
{{{log((x^2+6)/(x+1))-log(x-1)=2}}}
{{{log(((x^2+6)/(x^2-1)))=2}}}

BASE TEN:
{{{10^2=(x^2+6)/(x^2-1)}}}
{{{x^2+6=100(x^2-1)}}}
{{{x^2+6=100x^2-100}}}
{{{6=99x^2-100}}}
{{{99x^2=106}}}
{{{x^2=106/99}}}
{{{x=0+- sqrt(106)/(3sqrt(11))}}}
{{{x=0+- sqrt(106*11)/(3*11)}}}, rationalized denominator
{{{highlight(x=0+- sqrt(1166)/33)}}}