Question

Log baza 5 (2x+3) = 2

Answer 1

10x+15=2
10x=-13
x=-1.3

Answer 2

$log_{5}(2x+3)=2$
Conditii: 2x+3>0 =>2x>-3 =>x>-3/2 
x∈(-3/2; ∞)
$log_{5}(2x+3)=log_{5}25 =\ \textgreater \ 2x+3=25 =\ \textgreater \ 2x=22 =\ \textgreater \ x=11$
x∈(-3/2;∞)
S={11}