Trắc nghiệm Bất phương trình mũ và bất phương trình lôgarit Toán Lớp 12

A. \(\left(-\infty ;-\frac{1}{3}\right)\)

B. \((1 ;+\infty)\)

C. \(\left(-\frac{1}{3} ; 1\right)\)

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

A. 3

B. 4

C. 5

D. 6

A. \(S=(2 ;+\infty)\)

B. \(S=(-\infty ; 0)\)

C. \(S=(0 ;+\infty)\)

D. \(S=(-\infty ;+\infty)\)

A. \(\frac{9}{4}\)

B. \(\frac{9}{2}\)

C. \(\frac{9}{8}\)

D. 9

A. \([1 ; 2]\)

B. \((-2 ;-1) \cup(1 ; 2)\)

C. \(\{1 ; 2\}\)

D. \((1 ; 2)\)

A. \((-\infty ; 27)\)

B. \((8 ; 27)\)

C. \(\left(\frac{1}{8} ; 27\right)\)

D. \((27 ;+\infty)\)

A. \(S_{1} \subset S_{3} \subset S_{2}\)

B. \(S_{2} \subset S_{1} \subset S_{3}\)

C. \(S_{1} \subset S_{2} \subset S_{3}\)

D. \(S_{2} \subset S_{3} \subset S_{1}\)

A. \((1 ; 2) \cup(3 ;+\infty)\)

B. \((-\infty ; 1) \cap(2 ; 3)\)

C. \((1 ; 2) \cap(3 ;+\infty)\)

D. \((-\infty ; 1) \cup(2 ; 3)\)

A. \(T=\left[\frac{3}{2} ;+\infty\right]\)

B. \(T=\left[-2 ; \frac{1}{3}\right]\)

C. \(T=\left(-2 ; \frac{1}{3}\right]\)

D. \(T=\left(-\infty ; \frac{1}{3}\right]\)

A. x>3

B. x<2 hoặc x>3 

C. 2<x<3

D. x<2

A. \(x>3^{\log _{2} 6}\)

B. \(x>2^{\log _{3} 6}\)

C. x>6

D. \(x>3^{\log _{6} 2}\)

A. \((-\infty ;-2)\)

B. \((-\infty ;-2) \cup(4 ;+\infty)\)

C. \((4 ;+\infty)\)

D. \((-2 ;-1) \cup(1 ; 4)\)

A. 15

B. 13

C. 30

D. \(\frac{37}{3}\)

A. \(S=(-4 ;-3) \cup[8 ;+\infty)\)

B. \(S=[8 ;+\infty)\)

C. \(S=(-\infty ;-4) \cup(-3 ; 8)\)

D. \(S=(-4 ;-3) \cup(8 ;+\infty)\)

A. \((0 ; 1) \)

B. \(\left(\frac{1}{8} ; 1\right)\)

C. \((1 ; 8)\)

D. \(\left(\frac{1}{8} ; 3\right)\)

A. \(\begin{array}{l} \left[ \begin{array}{l} x < 0\\ x > 2 \end{array} \right. \end{array}\)

B. \(x < 0\)

C. \(x > 2\)

D. \(0 < x < 2\)

A. \(\begin{array}{l} \left[ \begin{array}{l} x > 1\\ x < {\log _3}2 \end{array} \right. \end{array}\)

B. \(x > {\log _3}2\)

C. \(x < 1\)

D. \({\log _3}2 < x < 1\)

A. \(\begin{array}{l} \left( { - \infty ; - 1} \right) \cup \left( {2;3} \right) \end{array}\)

B. \(\left( { - \infty ;1} \right) \cup \left( {2;3} \right)\)

C. \(\left( {2;3} \right)\)

D. \(\left( { - \infty ; - 2} \right) \cup \left( {2;3} \right)\)

A. \(\begin{array}{l} S = \left[ {1; + \infty } \right) \cup \left\{ 0 \right\} \end{array}\)

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

C. \(S = \left[ {0; + \infty } \right)\)

D. \(S = \left[ {2; + \infty } \right) \cup \left\{ 0 \right\}\)

A. \(\begin{array}{l} x \in \left( {0;2} \right) \end{array}\)

B. \(x \in \left( { - \infty ;0} \right) \cup \left( {2; + \infty } \right)\)

C. \(x \in \left( { - \infty ; - 2} \right) \cup \left( {0; + \infty } \right)\)

D. \(x \in \left( { - 2;0} \right)\)

A. \(x\in [2;+\infty)\)

B. \(x\in (2;+\infty)\)

C. \(x\in (-\infty;2)\)

D. \(x\in (-\infty;2]\)

A. \(x>\frac{2}{3}\)

B. \(x<\frac{2}{3}\)

C. \(x>\frac{3}{2}\)

D. \(x<\frac{3}{2}\)

A. \(\begin{array}{l} x \in \left( { - \infty ;{{\log }_{\frac{3}{2}}}3} \right] \end{array}\)

B. \(x\in (1;3)\)

C. \(x\in(1;3]\)

D. \(x \in \left[ {0;{{\log }_{\frac{3}{2}3}}} \right]\)

A. \(\begin{array}{l} \left( { - \infty ;{{\log }_2}3} \right) \end{array}\)

B. \(\left( { - \infty ;{{\log }_{\frac{2}{3}}}3} \right)\)

C. \(\emptyset \)

D. \(\left( {{{\log }_2}3; + \infty } \right)\)

A. \(m\ge7\)

B. m>7

C. m<4

D. \(4<m\le7\)

A. \(m\ge2\)

B. \(m>2\)

C. \(m\le2\)

D. \(m<2\)

A. \(\begin{array}{l} \left[ \begin{array}{l} - 1 < x < 0\\ x > 1 \end{array} \right. \end{array}\)

B. \(x>-1\)

C. \(x>0\)

D. \(\left[ \begin{array}{l} x < - 1\\ x > 1 \end{array} \right.\)

A. \(\begin{array}{l} S = \left( {1;\frac{3}{2}} \right) \end{array}\)

B. \(S = \left( {0;\frac{3}{2}} \right)\)

C. \(S = \left( {0;1} \right)\)

D. \(S = \left( {\frac{3}{2};2} \right)\)

A. Vô số

B. 0

C. 2

D. 1

A. \(\begin{array}{l} \left( {0;\frac{3}{2}} \right) \end{array}\)

B. \(\left( { - 1;\frac{3}{2}} \right)\)

C. \(\left( { - \infty ;0} \right) \cup \left( {\frac{1}{2}; + \infty } \right)\)

D. \(\left( { - \infty ;1} \right) \cup \left( {\frac{3}{2}; + \infty } \right)\)

A. \((-\infty;1)\)

B. \([0;1)\cup(2;3]\)

C. \([0;2)\cup(3;7]\)

D. \([0;2)\)

A. \(S=[-2;{-3\over2})\)

B. \(S=[-2;0)\)

C. \(S=(-\infty;2]\)

D. \(S=\mathbb{R}\backslash{\{-\frac{3}{2};0\}}\)

A. \(\begin{array}{l} \left( {1;1 + 2} \right) \end{array}\)

B. (1;9)

C. \(\left( {1 + \sqrt 2 ; + \infty } \right)\)

D. \(\left( {9; + \infty } \right)\)

A. (1;2)

B. (1;2]

C. \((-\infty;2]\)

D. \([2;+\infty)\)

A. \(\begin{array}{l} S = \left( {\frac{1}{2};\frac{5}{2}} \right) \end{array}\)

B. \(S = \left[ {\frac{1}{2};\frac{5}{5}} \right)\)

C. \(S = \left( { - \infty ;\frac{5}{2}} \right)\)

D. \(S = \left( {\frac{5}{2}; + \infty } \right)\)

A. (8;16)

B. (0;16)

C. \((8;+\infty)\)

D. \(\mathbb{R}\)

A. \(\begin{array}{l} \frac{1}{2} < x < \frac{{25}}{{32}} \end{array}\)

B. \(x > \frac{{25}}{{32}}\)

C. \(\left[ \begin{array}{l} x < \frac{1}{2}\\ x > \frac{{25}}{{32}} \end{array} \right.\)

D. \(x > \frac{1}{2}\)

A. \(\left( {1;\frac{3}{2}} \right)\)

B. \((\frac{3}{2};+\infty)\)

C. \((\frac{1}{2};\frac{3}{2})\)

D. \((-\infty;\frac{3}{2})\)

A. \(\mathbb{R}\backslash{\{1\}}\)

B. \(\mathbb{R}\)

C. {1}

D. \(\emptyset\)

A. (0;1)

B. \((\frac{1}{8};1)\)

C. (1;8)

D. \((\frac{1}{8};3)\)