Log2(3x-2) - log2(x-1) + log2(((x-1)^3)^3)^3 - log2((3x-2)^3)^3 < 1

Question

Log2(3x-2) - log2(x-1) + log2(((x-1)^3)^3)^3 - log2((3x-2)^3)^3 < 1

Answer 1

g^2(x)+lg(x^2)=lg^2(2-1)

lg(x)=y

y^2+2y=0

y(y+2)=0

y1=0

y2=-2

lg(x)=0

x1=10^0=1

lg(x)=-2

x2=10^(-2)=1/10^2=1/100=0,01

Ответ: 1; 0,01