Question

log3(2x-1)=2 помогите плез

Answer 1

$large \ log_3{(2x-1)}=2\ left{begin{matrix} 2x-1>0\ log_3{(2x-1)}=2log_3{3} end{matrix}right.Leftrightarrow left{begin{matrix} x>{1over2}\ log_3{(2x-1)}=log_3{9} end{matrix}right.Leftrightarrowleft{begin{matrix} x>{1over2}\ 2x-1=9 end{matrix}right.Leftrightarrowleft{begin{matrix} x>{1over2}\ boldsymbol{x=5} end{matrix}right.$

Answer 2

Спасибо!