решить неравенство log(3)(2-3^(-x))<x+1-log(3)4...

решить неравенство log(3)(2-3^(-x))<x+1-log(3)4

 

log(9)x=log(3)x/log(3)9=log(3)x/2
9log^2(3)x-10log(3)x+1=0
log(3)x=t
9t^2-10t+1=0
t=(5+-sqrt(25-9))/3=(5+-4)/3
t1=3
t2=1/3
log(3)x=3 x=3^3=27
log(3)x=1/3 x=-1
2. log(6)6+log(6)(x+6)=log(6)(6x+36)
x^2+10x+24<=6x+36
x^2+4x-12<=0
[-6;2]
x>-6 +
x^2+10x+24>0 x>-4 x<-6 
ответ ]-4;2]
log^2(0,5)x-log(0,5)x^2>3
t^2-2t-3>0
t<-1
t>3
log(0,5)x>3 x<1/8
log(0,5)<-1 x>2
x>0
]0;1/8[ U]2;~[