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B1 中级 英语 5:10 Educational

Log Tables - Numberphile

Numberphile · 3,910,732 次观看 · 添加于 3 周前

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00:00

ROGER BOWLEY: I'm going to be talking about logarithms,

00:02

logarithms to the base 10.

00:04

So for example, if I have a number, which is 100, I can

00:08

think of that as 10 squared, or 10 to the power 2.

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So 2 is the logarithm of this number, 100, to the base 10.

00:18

1,000 is 10 to the 3.

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This is the logarithm, the 3, and it corresponds to the

00:26

number of 0's there.

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It is logarithm of 1,000 equals 3.

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I can do 10 to another number.

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So for example, 10 to the 1.6232 turns out to be 42.

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That means that if I were to take 10, that means that the

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log to the base 10 of 42 is 1.6232 to

00:51

four significant figures.

00:53

The reason it's useful is multiplication.

00:55

If I have two numbers and I want to multiply them

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together, it's easy to make mistakes, because there are a

01:00

lot of little operations that have to be added up.

01:03

If you go through logarithms and you get a logarithm of a

01:07

number, such as 42, and you multiply it with another

01:10

number, such as 37, or 59, or 200, you get the logarithm of

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