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Log baza 5 (2x+3) = 2

Răspuns :

10x+15=2
10x=-13
x=-1.3
[tex]log_{5}(2x+3)=2[/tex]
Conditii: 2x+3>0 =>2x>-3 =>x>-3/2 
x∈(-3/2; ∞)
[tex]log_{5}(2x+3)=log_{5}25 =\ \textgreater \ 2x+3=25 =\ \textgreater \ 2x=22 =\ \textgreater \ x=11[/tex]
x∈(-3/2;∞)
S={11}