Question

Rezolvati in R ecuatia: log_{2} x- log_{4} (3x-2)=0

Answer 1

$log_{2}x- log_{4}(3x-2)=0 \\ DVA:x\ \textgreater \ 2/3 \\ log_{2}x= log_{2^2}(3x-2) \\ log_{2}x= \frac{1}{2} log_{2}(3x-2) \\ x= \sqrt{3x-2} \\ x^{2} =3x-2 \\ x^{2} -3x+2=0 \\ x=2;x=1$
S={1;2}