[tex]\log(2x+15)=2 \\ \\ avec \left \{ {{2x+15\ \textgreater \ 0} \atop {\log(2x+15)=2}} \right. \\ \\ \\ 2x+15\ \textgreater \ 0 \\ 2x\ \textgreater \ -15 \\ x\ \textgreater \ - \frac{15}{2} \\ \\ \left \{ {{x\ \textgreater \ - \frac{15}{2} } \atop {\log(2x+15)=2}} \right. \\ \\ \left \{ {{x\ \textgreater \ - \frac{15}{2} } \atop {2x+15=10^2}} \right. \\ \\ \left \{ {{x\ \textgreater \ - \frac{15}{2} } \atop {2x+15=100}} \right.[/tex]
[tex]2x+15=100 \\ 2x=100-15 \\ 2x=85 \\ x= \frac{85}{2} \\ \\ x\ \textgreater \ -\frac{15}{2} \\ x= \frac{85}{2} \\ \\ \left \{ {{ \frac{85}{2} \ \textgreater \ - \frac{15}{2} } \atop {x= \frac{85}{2} }} \right. \\ \\ \boxed{S=\{ \frac{85}{2}\} }[/tex]
