lg(x-3)=-2, lg(5-x)=-1, lgx^2=0

Question

lg(x-3)=-2, lg(5-x)=-1, lgx^2=0

Answer 1

lg(x-3)=-2               ОДЗ: x-3>0

lg(x-3)=lg 0,01                 х>3

x-3=0,01

x=3,01  

            

lg(5-x)=-1                ОДЗ: 5-х>0

lg(5-x)=lg0,1                     x<5</p>

5-x=0,1

x=4,9

 

lgx^2=0                 ОДЗ:  x>0

lg x^2=lg1

x^2=1

x=1  и x=-1

т.к. x>0, то х=1