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B1 Intermediate English 5:10 Educational

Log Tables - Numberphile

Numberphile · 3,910,763 views · Added 1 month ago

Learning Stats

B1

CEFR Level

5/10

Difficulty

Subtitles (103 segments)

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.

00:12

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

00:18

1,000 is 10 to the 3.

00:22

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

00:26

number of 0's there.

00:27

It is logarithm of 1,000 equals 3.

00:30

I can do 10 to another number.

00:34

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

00:42

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

00:46

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

00:58

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

Full subtitles available in the video player

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