Question

O resultado da equação:
 log3 (2x+1) - log3 (5x-3) = -1 

Answer 1

$log_3(2x+1)-log_3(5x-3)=-1 \\\\ log_3( \frac{2x+1}{5x-3})=-1 \\ \\ 3^{-1}= \frac{2x+1}{5x-3} \\ \\ \frac{1}{3}= \frac{2x+1}{5x-3} \\ \\ 3(2x+1)=1(5x-3) \\ \\ 6x+3=5x-3 \\ \\ 6x-5x=-3-3 \\ \\ x=-6$

S={-6}