0\\((0.5)^{2})^{x}-6*0.5^{x}-16>0\\((0.5)^{x})^{2}-6*0.5^{x}-16>0\\q=0.5^{x}\\q^{2}-6q-16>0\\(q-8)(q+2)>0\\q<-2 or q>8\\0.5^{x}>0=> 0.5^{x}=q>8\\0.5^{x}>(0.5)^{-3}\\0.5<1 => x<-3" alt="0.25^{x}-6*0.5^{x}-16>0\\((0.5)^{2})^{x}-6*0.5^{x}-16>0\\((0.5)^{x})^{2}-6*0.5^{x}-16>0\\q=0.5^{x}\\q^{2}-6q-16>0\\(q-8)(q+2)>0\\q<-2 or q>8\\0.5^{x}>0=> 0.5^{x}=q>8\\0.5^{x}>(0.5)^{-3}\\0.5<1 => x<-3" align="absmiddle" class="latex-formula">
Ответ х= - 4