Question

Помогите решить, пожалуйста :
1) (0,5)ˣ⁻¹+(0,5)ˣ⁺¹≤26
2) (x²-11x)/(x²-7x+6)<0
3) (x+2)/(3-x)>2
4) ㏒(x-9)+㏒(2x-1)=2
5) ㏒₅(x²+8)-㏒₅(x+1)=3㏒₅

Answer 1

(0.5)^x-1+(0,5)^x+1<26
(1+0.5^2)*(0.5^x-1<26
(1+(1/2)^2)*0.5^x-1<26
(1+1/4)*0.5^x-1<26
0.5^x-1<104/5
(1/2)^x-1<104/5
x-1>-log2(104/5)+1
x>-log2(8*13/5)+1
x>-(log2(8)+log(13/5))+1
x>-2-log2(13/5)