13. 已知函数f(x)={sinπx,x∈[0,2]∣log2(x−2)∣,x∈(2,+∞)f(x)=\left\{{\left.\begin{array}{l}{\sin \pi x,x\in [{0,2}]}\\ {\vert {{{\log }_2}({x-2})}\vert ,x\in ({2,+\infty })}\end{array}\right.}\right.f(x)={sinπx,x∈[0,2]∣log2(x−2)∣,x∈(2,+∞)，若存在非零实数kkk满足fff（a）=f=f=f（b）=f=f=f（c）=f=f=f（d）=k(a=k(a=k(a，bbb，ccc，ddd互不相等），则a+b+c+da+b+c+da+b+c+d的取值范围是 ___(7,152)({7,\frac{15}{2}})(7,215)___．