ĐGNL ĐHQG Hà Nội - Tư duy định lượng - Bất phương trình mũ

A.$f\left( x \right) > 9 \Leftrightarrow x - 2 - \left( {{x^2} - 4} \right){\log _3}7 > 0$

B. $f\left( x \right) > 9 \Leftrightarrow \left( {x - 2} \right)\ln 3 - \left( {{x^2} - 4} \right)\ln 7 > 0$

C. $f\left( x \right) > 9{\rm{\;}} \Leftrightarrow \left( {x - 2} \right)\log 3 - \left( {{x^2} - 4} \right)\log 7 > 0$

D. $f\left( x \right) > 9 \Leftrightarrow \left( {x - 2} \right){\log _{0,2}}3 - \left( {{x^2} - 4} \right){\log _{0,2}}7 > 0$

A.$S = \left( {1; + \infty } \right).$

B. $S = \left( { - 1; + \infty } \right).$

C. $S = \left( { - 2; + \infty } \right).$

D. $S = \left( { - \infty ; - 2} \right).$

A.R

B.$\left( { - \infty ;1} \right)$

c. $\left( {1; + \infty } \right)$

D. $\emptyset$

A.(2;3)                                   

B.(1;2)                            

C.{3}                        

D.$\left\{ {\frac{1}{3}} \right\}$

A.$x < - \ln 2$ hoặc$x > \ln 2$

B. $- \ln 2 < x < \ln 2$

C.$x < \frac{1}{2}$ hoặc x>2

D.$\frac{1}{2} < x < 2$

A.$\left[ {1; + \infty } \right)$

B. $( - \infty ;1]$

C. $\left( { - \infty ;\frac{{10}}{3}} \right)$

D. $\left( {\frac{{10}}{3}; + \infty } \right)$

A.$\left( { - \infty ; - 1} \right]$

B. $\left[ { - 1; + \infty } \right)$

C. $\left( { - \infty ; - 1} \right)$

D. $\left( { - 1; + \infty } \right)$

A.$(0, + \infty )$

B. $( - \infty , + \infty )$

C. $(2, + \infty )$

D. $( - \infty ,0)$

A.$\left[ { - 2;1} \right]$

B. $\left( {2;5} \right)$

C. $\left[ { - 1;3} \right]$

D. $\left( { - \infty ;1} \right) \cup \left( {3; + \infty } \right)$

A.$\left( { - 1; + \infty } \right)$

B. $\left( { - \infty ; - 1} \right)$

C. $\left( {2; + \infty } \right)$

D. $\left( { - \infty ; - 2} \right)$

A.Vô số

B.0

C.9

D.1

A.Vô số

B.6

C.4

D.5

A.$f\left( x \right) > 1 \Leftrightarrow {\log _9}5 + {x^2} > 0$

B. $f\left( x \right) > 1 \Leftrightarrow x.\ln 5 + {x^3}\ln 9 > 0$

C. $f\left( x \right) > 1 \Leftrightarrow x{\log _9}5 + {x^3} > 0$

D. $f\left( x \right) > 1 \Leftrightarrow x + {x^3}{\log _5}9 > 0$

A.$\left( {0; + \infty } \right)$

B. $\left( { - \infty ;0} \right)$

C. $\left( { - \infty ; - 1} \right)$

D. $\left( {0;1} \right)$

A.$\left( {0; + \infty } \right)$

B. $\left[ {0;2} \right]$

C. $\left[ {2; + \infty } \right)$

D. $\left[ {2; + \infty } \right) \cup \left\{ 0 \right\}$

A.$m \ge f\left( 1 \right) - e$

B. $m > f\left( { - 1} \right) - \frac{1}{e}$

C. $m \ge f\left( { - 1} \right) - \frac{1}{e}$

d. $m > f\left( 1 \right) - e$

A.1

B.2

C.0

D.3

A.65021

B.65024

C.65022

D.65023

A.8999

B.2019       

C.1010       

D.7979

A.$\min P = \frac{{13}}{2}.$

B. $\min P = \frac{9}{2}.$

C. $\min P = - 2.$

D. $\min P = 6.$

A.2

B.vô số

C.1

D.0