Логарифмическое неравенство
log2^2 (x-1) - log0.5 (x-1) >2

log²₂(x-1)-log₀,₅(x-1)>2ОДЗ: x-1>0; x>1log²₂(x-1)+log₂(x-1)-2>0[log₂(x-1)+2][log₂(x-1)-1]>0 __+__-2__-___1__+__1) log₂(x-1)<-2x-1<2⁻²=1/4x<1+1/4=5/4=1.252) log₂(x-1)>1x-1>2x>3x∈(1;1.25)∪(3:∞)