c) $C=\log _{a} \sqrt{a \sqrt{a \sqrt{a}}}$ có $C1$

Q: c) $C=\log _{a} \sqrt{a \sqrt{a \sqrt{a}}}$ có $C>1$

A. True B. False Ta có: $\log _{a} \sqrt{a \cdot \sqrt{a \cdot \sqrt{a}}}=\log _{a}\left[a \cdot\left(a \cdot a^{\frac{1}{2}}\right)^{\frac{1}{2}}\right]^{\frac{1}{2}}=\log _{a} a^{\frac{7}{8}}=\frac{7}{8}$.

Question

c) $C=\log _{a} \sqrt{a \sqrt{a \sqrt{a}}}$ có $C>1$

Accepted Answer

A. True
B. False

Ta có: $\log _{a} \sqrt{a \cdot \sqrt{a \cdot \sqrt{a}}}=\log _{a}\left[a \cdot\left(a \cdot a^{\frac{1}{2}}\right)^{\frac{1}{2}}\right]^{\frac{1}{2}}=\log _{a} a^{\frac{7}{8}}=\frac{7}{8}$.

Đề thi giữa kì 2 (Cấu trúc mới) - Đề số 75 - MĐ 11183