Question

Решите неравенство.
$log_2^2x+6 textgreater 5log_2x$

Answer 1

log2(x)=t
t^2-5t+6>0
t1=2  t2=3
t<2
x>0  log2(x)<2   log2(x)<log2(4)  0<x<4
        log2(x)>3   log2(x)>log2(8)  x>8
(0;4) U (8;∞)