167(a)
ОДЗ
x>0
log(4)x≠0⇒x≠1
x∈(0;1) U (1;∞)
log(4)x=a
4a-33/a-1≤0
(4a²-a-33)/a≤0
4a²-a-33=0
D=1+528=529
a1=(1-23)/8=-11/4
a2=(1+23)/8=3
a=0
_ + _ +
------------[-11/4]----------(0)------------[3]----------------
a<-11/4⇒log(4)x≤-11/4⇒x≤1/32√2<br>0x∈(0;1/32√2] U (1;64]
169(a)
ОДЗ
x+1>0⇒x>-1
x∈(-1;∞)
log(0,3)(x+1)/log(0,3)(100/9)<1<br>-log(0,3)(x+1)/2<1<br>log(0,3)(x+1)>-2
x+1<100/9<br>x<91/9<br>x∈(-1;10 1/9)