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Nếu ${{\log }_{2}}3=a$ thì ${{\log }_{72}}108$ bằng

Câu hỏi: Nếu ${{\log }_{2}}3=a$ thì ${{\log }_{72}}108$ bằng
A. $\dfrac{3+2a}{2+3a}.$
B. $\dfrac{2+3a}{2+2a}.$
C. $\dfrac{2+a}{3+a}.$
D. $\dfrac{2+3a}{3+2a}.$
${{\log }_{72}}108=\dfrac{{{\log }_{2}}108}{{{\log }_{2}}72}=\dfrac{2+3{{\log }_{2}}3}{3+2{{\log }_{2}}3}=\dfrac{2+3a}{3+2a}.$
Đáp án D.
 

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