Rezolvati in multimea numerelor reale ecuatia urmatoare

Conditii de existenta
x-1>0
x²-x-4>0
[tex]log_{x-1}(x^2-x-4)=2\\\\(x-1)^2=x^2-x-4\\\\x^2-2x+1=x^2-x-4\\\\5=x[/tex]