Question

5*lg2-3=lg(4x-2)  решите плиииз

Answer 1

5lg2-3=lg(4x-2)

5lg2-lg1000=lg(4x-2)

lg32-lg1000=lg(4x-2)

lg(32/1000)=lg(4x-2)

32/1000=4x-2

4x=32/1000+2

x=2032/4000

 

Answer 2

5*lg2-3=lg(4x-2)    ==>  lg(2^5)-lg(4x-2)=3 ==> lg((2^5)/(4x-2))=3  ==> lg((2^5)/(4x-2))=lg1000 ==>

 

==>  (2^5)/(4x-2)=1000  ==>  (2^5)/1000=(4x-2) ==> 0,032 = 4x -2 ==> 2,032 = 4x  ==>

 

==> x = 2,032/4 = 0.508