Question

Answer 1

\(T=log_{a^2}\dfrac{a^4\sqrt[3]{b}}{c^3}\)

\(=\dfrac{1}{2}\cdot log_a\left(a^4\cdot\dfrac{b^{\dfrac{1}{3}}}{c^3}\right)\)

\(=\dfrac{1}{2}\left(log_aa^4+log_ab^{\dfrac{1}{3}}-log_ac^3\right)\)

\(=\dfrac{1}{2}\left(4+\dfrac{1}{3}\cdot log_ab-3\cdot log_ac\right)\)

\(=\dfrac{1}{2}\left(4+\dfrac{1}{3}\cdot6-\dfrac{3}{3}\right)=\dfrac{1}{2}\left(4+2-1\right)=\dfrac{1}{2}\cdot5=\dfrac{5}{2}\)

=>Chọn A