Question

log1/3(2x-1)>1 решиите

Answer 1

$2x-1\ \textgreater \ 0 \\ x\ \textgreater \ \frac{1}{2} \\ log_{ \frac{1}{3} }(2x-1)\ \textgreater \ 1 =log_{ \frac{1}{3} }\frac{1}{3}\\ 2x-1\ \textless \ \frac{1}{3}, 0\ \textless \ \frac{1}{3}\ \textless \ 1 \\ 2x\ \textless \ \frac{4}{3} \\ x\ \textless \ \frac{2}{3}$
x⊂(1/2;2/3)