高二數B 對數 Quiz: 11 Practice Questions

11 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

20 sec • 1 pt

請選出目前數學的 [學習狀況]

好棒棒

我好了

啊啊啊啊

嚇到吃手手

2.

MULTIPLE SELECT QUESTION

10 sec • 1 pt

辨認出你的數學老師

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

當底數為常用對數可以省略，即 $\log_ab$ 可以表示為 $\log b$
所以當 $a$ 為多少時，可以省略

1

3

8

10

4.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

$\log_{2022}2022=?$

0

1

2022

2023

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

因為 $7^3=343$ ，所以 $\log_7343=$ ?

1

2

3

4

6.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

下列何者不是 $\log_ab$ 有意義的條件限制?

$a>0$

$a\ne1$

$b>0$

$b\ne1$

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

下列等式何者正確?

$\log_89=\frac{\log_97}{\log_87}$

$\log_xy\times\log_yz\times\log_zx=1$

$\log_35=\frac{1}{\log_35}$

$\log_14=4$

8.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

$\log_510\times\log_{10}15\times\log_{15}20\times\log_{20}25=?$

0

1

2

5

9.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

$\log_k7^3=?$

$\log_k21$

$\log_{21}k$

$3\log_k7$

$7\log_k3$

Answer explanation

10.

MULTIPLE CHOICE QUESTION

10 sec • 3 pts

$8^{\log_89}=$ ?

b

q

d

9

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高二數B 對數

請選出目前數學的 [學習狀況]

辨認出你的數學老師

當底數為常用對數可以省略，即 log⁡ab\log_abloga​b 可以表示為 log⁡b\log blogb 所以當 aaa 為多少時，可以省略

log⁡20222022=?\log_{2022}2022=?log2022​2022=?

因為 73=3437^3=34373=343 ，所以 log⁡7343=\log_7343=log7​343= ?

下列何者不是 log⁡ab\log_abloga​b 有意義的條件限制?

下列等式何者正確?

log⁡510×log⁡1015×log⁡1520×log⁡2025=?\log_510\times\log_{10}15\times\log_{15}20\times\log_{20}25=?log5​10×log10​15×log15​20×log20​25=?

log⁡k73=?\log_k7^3=?logk​73=?

8log⁡89=8^{\log_89}=8log8​9= ?

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當底數為常用對數可以省略，即 $\log_ab$ 可以表示為 $\log b$
所以當 $a$ 為多少時，可以省略

$\log_{2022}2022=?$

因為 $7^3=343$ ，所以 $\log_7343=$ ?

下列何者不是 $\log_ab$ 有意義的條件限制?

$\log_510\times\log_{10}15\times\log_{15}20\times\log_{20}25=?$

$\log_k7^3=?$

$8^{\log_89}=$ ?