Quiz about Phép tính Lũy thừa. Phép tính Logarit

Question 1

$$\log_ab=n\Longleftrightarrow$$

Accepted Answer

$$a^{n\ }=b$$

Answer

$$b^n=a$$

Answer

$$n^a=b$$

Answer

$$n^b=a$$

Question 2

$$\log_a\left(b.c\right)=$$

Accepted Answer

$$\log_ab+\log_ac$$

Answer

$$\log_ab-\log_ac$$

Answer

$$\log_ab.\log_ac$$

Answer

$$\frac{\log_ab}{\log_ac}$$

Question 3

$$a^{\log_ab}=$$

Accepted Answer

b

Answer

$$\log_ab$$

Answer

a

Answer

1

Question 4

$$\log_a\left(\frac{b}{c}\right)=$$

Accepted Answer

$$\log_ab-\log_ac$$

Answer

$$\log_ab+\log_ac$$

Answer

$$\frac{\log_ac}{\log_ab}$$

Answer

$$\frac{\log_ab}{\log_ac}$$

Question 5

$$\log_ab^{\alpha}=$$

Accepted Answer

$$\alpha\log_ab$$

Answer

$$\frac{1}{\alpha}\log_ab$$

Answer

$$\log_{a^{\alpha}}b$$

Answer

$$\left(\log_ab\right)^{\alpha}$$

Question 6

$$\log_{a^{\alpha}}b=$$

Accepted Answer

$$\frac{1}{\alpha}\log_ab$$

Answer

$$\log_ab^{\alpha}$$

Answer

$$\alpha\log_ab$$

Answer

$$\left(\log_ab\right)^{\alpha}$$

Question 7

$$\frac{1}{\log_ab}=$$

Accepted Answer

$$\log_ba$$

Answer

$$\log_a\left(\frac{1}{b}\right)$$

Answer

$$-\log_ab$$

Answer

$$\log_{\frac{1}{a}}b$$

Question 8

$$Cho\ 0\ <a
e2.\ Tính\ I=\log_{\frac{a}{2}}\left(\frac{a^2}{4}ight)$$

Accepted Answer

$$2$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{-1}{2}$$

Answer

$$-2$$

Phép tính Lũy thừa. Phép tính Logarit