Question

Решить неравенство log3 (2x+1) < 3

Answer 1

$log_3(2x+1)\ \textless \ 3\\OD3:2x+1\ \textgreater \ 0,\; \; 2x\ \textgreater \ -1,\; \; x\ \textgreater \ -0,5\\\\log_3(2x+1)\ \textless \ log_327\\3\ \textgreater \ 1\\2x+1\ \textless \ 27\\2x\ \textless \ 26\\x\ \textless \ 13\\\\x\in(-0,5;13)$