已知数列\(\left\{{a}_{n}\right\}\)的首项\({{a}_{1}}=3\)，前\(n\)项和为\({S}_{n}\)，\({{a}_{n+1}}=2{{S}_{n}}+3\)，\(n\in{{N}^{*}}\)，设\({{b}_{n}}={{\log}_{3}}{{a}_{n}}\)，数列\(\left\{\dfrac{{b}_{n}}{{a}_{n}}\right\}\)的前\(n\)项和\({T}_{n}\)的范围\((\quad)\)
A. \(\left[\dfrac{1}{3},2\right]\)
B. \(\left[\dfrac{1}{3},2\right)\) C. \(\left[\dfrac{1}{3},\dfrac{3}{4}\right)\) D. \(\left(\dfrac{1}{4},\dfrac{3}{4}\right]\)
