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常用對數小測驗

Authored by 陳俊友 陳俊友

Mathematics

10th - 12th Grade

Used 9+ times

常用對數小測驗
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

若 pp  為正數且 a=log⁡pa=\log p ,則 aa   與 pp  的關係,下列何者正確?

a=10pa=10p  

p=10ap=10a  

a=10pa=10^p  

p=10ap=10^a  

Answer explanation

a=log⁡p⟹p=10aa=\log p\Longrightarrow p=10^a  

2.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

log⁡1000=\log1000=   (a)  

Answer explanation

log⁡1000=log⁡103=3\log1000=\log10^3=3  

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

以下哪一個數值介於3到4之間?

log⁡35\log35  

log⁡357\log357  

log⁡3579\log3579  

log⁡35791\log35791  

Answer explanation

介於3到4之間,代表 log⁡p\log p  的p是一個4位數。

4.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

log⁡11000=\log\frac{1}{1000}=   (a)  

Answer explanation

11000=10−3\frac{1}{1000}=10^{-3}  , 10−310^{-3}  是10的-3次方,所以 log⁡11000=−3\log\frac{1}{1000}=-3  

5.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

log⁡101.04=\log10^{1.04}=   (a)  

Answer explanation

101.0410^{1.04}  是10的1.04次方,所以 log⁡101.04=1.04\log10^{1.04}=1.04  

6.

MULTIPLE CHOICE QUESTION

45 sec • 5 pts

猜猜看, log⁡2\log2  大約是多少?

0.3010.301  

0.47710.4771  

0.87510.8751  

0.6020.602  

Answer explanation

使用計算機可知 log⁡2≈0.3010\log2\approx0.3010  

7.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

10log⁡3.14=10^{\log3.14}=   (a)  

Answer explanation

10log⁡a=a10^{\log a}=a  

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