![image](https://tex.z-dn.net/?f=1%29%5C%3B+y%3Da%5E%7Bx%7D%2C+a%3E0%2C+a%5Cne+1%5C%5C%5C%5C2%29x%5E3%2B2x%5E2-x-2%3E0%5C%5C%5C%5Cx%5E2%28x%2B2%29-%28x%2B2%29%3E0%5C%5C%5C%5C%28x%2B2%29%28x-1%29%28x%2B1%29%3E0%5C%5C%5C%5C---%28-2%29%2B%2B%2B%28-1%29---%281%29%2B%2B%2Bx%5Cin+%28-2%2C-1%29U%281%2C%2B%5Cinfty%29%5C%5C%5C%5C3%29%5C%3B+1%3C5%5E%7Bx%7D%3C125%5C%5C%5C%5C5%5E0%3C5%5E%7Bx%7D%3C5%5E3%5C%5C%5C%5C0%3Cx%3C3)
0, a\ne 1\\\\2)x^3+2x^2-x-2>0\\\\x^2(x+2)-(x+2)>0\\\\(x+2)(x-1)(x+1)>0\\\\---(-2)+++(-1)---(1)+++x\in (-2,-1)U(1,+\infty)\\\\3)\; 1<5^{x}<125\\\\5^0<5^{x}<5^3\\\\0<x<3" alt="1)\; y=a^{x}, a>0, a\ne 1\\\\2)x^3+2x^2-x-2>0\\\\x^2(x+2)-(x+2)>0\\\\(x+2)(x-1)(x+1)>0\\\\---(-2)+++(-1)---(1)+++x\in (-2,-1)U(1,+\infty)\\\\3)\; 1<5^{x}<125\\\\5^0<5^{x}<5^3\\\\0<x<3" align="absmiddle" class="latex-formula">