5\\\\\underline {x\in (5,+\infty )}" alt="4^{(x-4)^2}<16^{\frac{x^2-24}{2}}\\\\4^{(x-4)^2}<\Big (4^2\Big )^{\frac{x^2-24}{2}}\\\\4^{(x-4)^2}<4^{x^2-24}\\\\x^2-8x+16<x^2-24\\\\-8x<-40\\\\x>5\\\\\underline {x\in (5,+\infty )}" align="absmiddle" class="latex-formula">