Question

log3(2x-1)=2 помогите плез

Answer 1

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