Помогите решить log 2(x+3)=log3(2x-15)

[latex]log_{2}(x+3)=log_{3}(2x-15) [/latex] [latex] \frac{log_{3}(x+3)}{log_{3} 2}=log_{3}(2x-15) \\ log_{3}(x+3)-log_{3} 2=log_{3}(2x-15) \\ [/latex] [latex]log_{3}(x+3)-log_{3}(2x-15)=log_{3} 2 \\ log_{3} \frac{x+3}{2x-15} =log_{3}2 \\ \frac{x+3}{2x-15} =2 \\ (x \neq \frac{15}{2} ) x+3=4x-30 \\ 3x=33 \\ x=11 [/latex]