0\;\;\;\;\;\;\;\;\;x\in R\\x^2+3x-x-3>0\\x(x+3)-(x+3)>0\\(x+3)(x-1)>0\\x\in (1,+\infty)\\x\in(-\infty, -3)\\ x\in(-\infty, -3) \cup(1,+\infty)\\" alt="f(x)=log_{2}(x^2+2x-3)\\log_2(x^2+2x-3)\;\;\;\;\;\;\;x^2+2x-3\\x^2+2x-3>0\;\;\;\;\;\;\;\;\;x\in R\\x^2+3x-x-3>0\\x(x+3)-(x+3)>0\\(x+3)(x-1)>0\\x\in (1,+\infty)\\x\in(-\infty, -3)\\ x\in(-\infty, -3) \cup(1,+\infty)\\" align="absmiddle" class="latex-formula">