Question

решите неравенство 4^x-6*2^x+8>0

Answer 1

$4^x-6*2^x+8 textgreater 0 \ \ 2^{2x} -6*2^x+8 textgreater 0 \ \ D=36-32=4 \ \ 2^x=(6-2)/2=2 \ \ 2^x=(6+2)/2=4=2^2 \ \ (2^x-2)(2^x-2^2) textgreater 0 \ \ (x-1)(x-2) textgreater 0 \ \ +++(1)---(2)+++ \ \ xin(-oo;1)U(2;+oo)$