Question

URGENTE log3(5x-1)=-2

Answer 1

$log_{3}(5x -1)=-2 \\ \\ C.E.: 5x - 1 \ \textgreater \ 0 \\ \\ 5x\ \textgreater \ 1 \\ \\ x\ \textgreater \ \frac{1}{5} \\ \\ 5x-1=3^-^2 \\ \\ 5x=1+ \frac{1}{9} \\ \\ 45x=9+1 \\ \\ 45x=10 \\ \\ x= \frac{10}{45} \\ \\ x= \frac{2}{9}$

Como 2/9 > 1/5, então:

S = {2/9}