Question

$4^x-10*2^x+16 textgreater 0$

Answer 1

2^x=a
a²-10a+16>0
a1+a2=10 U a1*a2=16
a1=2 U a2=8
a<2⇒2^x<2⇒x<1
a>8⇒2^x>8⇒x>3
x∈(-∞;1) U (3;∞)