200 câu trắc nghiệm Hàm số mũ và Logarit nâng cao (P1)

A. -11/6

B. 11/6

C. 8/5

D. -8/5

A. $\frac{2017}{567}$

B. $\frac{11}{6}$

C. $\frac{53}{24}$

D. $\frac{2017}{576}$

A. $A=a^{\frac{5}{6}}$

B. $A=a^{\frac{17}{18}}$

C . $A=a^{\frac{5}{9}}$

D. $A=a^{\frac{5}{16}}$

A. 4.

B. 2.

C. 3.

D. 1.

A. A = a - b

B. A = a

C. A = 1/a

D. A = a + b

A. 5

B. $\sqrt{27}$

C. $\sqrt{23}$

D . 25

A. $A=\sqrt{\mathrm{ab}}$

B. $A=\sqrt[3]{\mathrm{ab}}$

C. $A=\sqrt[6]{\mathrm{ab}}$

D. $A=\sqrt[6]{a}-\sqrt[6]{b}$

A. ${\log }_{12}\left(15\right)=\frac{a+\mathrm{ab}}{b+2}$

B. ${\log }_{12}\left(15\right)=\frac{a+\mathrm{ab}}{a+2}$

C. ${\log }_{12}\left(15\right)=\frac{a+b}{\mathrm{ab}+2a}$

D. ${\log }_{12}\left(15\right)=\frac{a+b}{\mathrm{ab}+2b}$

A. ${\log }_6\left(45\right)=\frac{a+2\mathrm{ab}}{\mathrm{ab}}$

B. ${\log }_6\left(45\right)=\frac{2a^2-2\mathrm{ab}}{\mathrm{ab}}$

C. ${\log }_6\left(45\right)=\frac{a+2\mathrm{ab}}{\mathrm{ab}+b}$

D. ${\log }_6\left(45\right)=\frac{2a^2-2\mathrm{ab}}{\mathrm{ab}+b}$

A. ${\log }_{15}\left(21\right)=\frac{a+b}{\mathrm{ab}+b}$

B. ${\log }_{15}\left(21\right)=\frac{a+b}{a+1}$

C. ${\log }_{15}\left(21\right)=\frac{a-b}{a+1}$

D. ${\log }_{15}\left(21\right)=\frac{a-b}{\mathrm{ab}+b}$

A. $\frac{\mathrm{ab}+2a+1}{a-2}$

B. $\frac{\mathrm{ab}-2a+1}{a-2}$

C. $\frac{\mathrm{ab}-2a+1}{a+2}$

D. $\frac{\mathrm{ab}+2a+1}{a+2}$

A. ${\log }_{15}\left(105\right)=\frac{1+a+\mathrm{ab}}{(1+a)b}$

B. ${\log }_{15}\left(105\right)=\frac{1+b+\mathrm{ab}}{1+a}$

C. ${\log }_{15}\left(105\right)=\frac{a+b+1}{b(1+a)}$

D. ${\log }_{15}\left(105\right)=\frac{1+b+\mathrm{ab}}{(1+a)b}$

A. $\frac{2a+b+1}{a+b}$

B. $\frac{2a+b-1}{a+b}$

C. $\frac{2a-b+1}{a+b}$

D. $\frac{a+b+1}{a+b}$

A. $\frac{1+3pq}{p+q}$

B. $\frac{3pq}{1+3pq}$

C. p.q

D. $\frac{3p+q}{5}$

A. $\frac{3(b+ac)}{c+2}$

B. $\frac{3b+2ac}{c+1}$

C. $\frac{3b+2ac}{c+2}$

D. $\frac{3(b+ac)}{c+1}$

A. $\frac{2ac+1}{abc+2c+1}$

B. $\frac{2ac+1}{abc+2c-1}$

C. $\frac{2ac-1}{abc+2c+1}$

D. $\frac{2ac+1}{abc-2c+1}$

A. ${\log }_{a^2}\left(\sqrt[3]{b^5{c}^4}\right)=\frac{5+4y}{6x}$

B. ${\log }_{a^2}\left(\sqrt[3]{b^5{c}^4}\right)=\frac{20y}{3x}$

C. ${\log }_{a^2}\left(\sqrt[3]{b^5{c}^4}\right)=\frac{5+3y^4}{3x^2}$

D. ${\log }_{a^2}\left(\sqrt[3]{b^5{c}^4}\right)=20x+\frac{20y}{3}$

A . m = 1.

B . m = 1/2 .

C . m = 4.

D . m = 2.

A. . ${\log }_{12}\left(\sqrt{20}\right)=\frac{ab-b+2}{2(a+1)}$

B. ${\log }_{12}\left(\sqrt{20}\right)=\frac{ab+b-2}{2(a+1)}$

C. ${\log }_{12}\left(\sqrt{20}\right)=\frac{ab+b-2}{2(a-1)}$

D. ${\log }_{12}\left(\sqrt{20}\right)=\frac{ab-b+2}{2(a-1)}$

A. ${\log }_{a\sqrt{b}}\left(ab\right)=\frac{1+{\log }_a\left(b\right)}{2+{\log }_a\left(b\right)}$

B. ${\log }_{a\sqrt{b}}\left(ab\right)=\frac{2+{\log }_a\left(b\right)}{1+{\log }_a\left(b\right)}$

C. ${\log }_{a\sqrt{b}}\left(ab\right)=\frac{2+2{\log }_a\left(b\right)}{2+{\log }_a\left(b\right)}$

D. ${\log }_{a\sqrt{b}}\left(ab\right)=\frac{2+{\log }_a\left(b\right)}{2+2{\log }_a\left(b\right)}$

A. $\log (x+y)=\frac{1+\log x+\log y}{2}$

B. log( x + y) = logx + log y + 1

C. log(x + y) = logx + logy - 1

D. log(x + y) = 10( logx + logy)

A. ${\log }_2\left(\frac{x+y}{14}\right)$ = ${\log }_2$ x+ ${\log }_2$ y

B. ${\log }_2\left(\frac{x+y}{16}\right)$ =x+ ${\log }_2$ y

C. ${\log }_2(x+y)=\frac{{\log }_{2}x+{\log }_{2}y}{2}$

D. ${\log }_2\left(x+y\right)=2+\frac{{\log }_2\left(xy\right)}{2}$

A. ${\log }_5\left(x+y\right)=\frac{1+{\log }_5\left(xy\right)}{2}$

B. ${\log }_5\left(x+y\right)=\frac{1+{\log }_{5}x+{\log }_{5}y}{2}$

C. log ₅ (x + y) ² = 1 + log ₅ ( xy)

D. Tất cả đều đúng

A. ${\log }_{abc}\left(x\right)=\frac{pqr}{pq+qr+rp}$

B. ${\log }_{abc}\left(x\right)=pqr$

C. ${\log }_{abc}\left(x\right)=\frac{pqr}{p+q+r}$

D. ${\log }_{abc}\left(x\right)=\frac{pq+qr+rp}{p+q+r}$

A. 0

B. 1

C. 3

D. 2