a) Cho $\ln x=2$ thì $B=7$

Q: a) Cho $\ln x=2$ thì $B=7$

A. True B. False $\begin{aligned} B &amp; =2 \ln (e x)^{\frac{1}{2}}-\left(\ln e^{2}-\ln x^{\frac{1}{2}}\right)+\ln \left(e x^{2}\right) \\ &amp; =\ln (e x)-\left(2-\frac{1}{2} \ln x\right)+\ln \left(e x^{2}\right)=(\ln e+\ln x)-2+\frac{1}{2} \ln x+\ln e+\ln x^{2} \\ &amp; =1+\ln x-2+\frac{1}{2} \ln x+1+2 \ln x=\frac{7}{2} \ln x\end{aligned}$

Question

Accepted Answer

A. True
B. False

$\begin{aligned} B & =2 \ln (e x)^{\frac{1}{2}}-\left(\ln e^{2}-\ln x^{\frac{1}{2}}\right)+\ln \left(e x^{2}\right) \ & =\ln (e x)-\left(2-\frac{1}{2} \ln x\right)+\ln \left(e x^{2}\right)=(\ln e+\ln x)-2+\frac{1}{2} \ln x+\ln e+\ln x^{2} \ & =1+\ln x-2+\frac{1}{2} \ln x+1+2 \ln x=\frac{7}{2} \ln x\end{aligned}$

Đề thi giữa kì 2 (Cấu trúc mới) - Đề số 63 - MĐ 11225