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Log Tables - Numberphile
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ROGER BOWLEY: I'm going to be talking about logarithms,
logarithms to the base 10.
So for example, if I have a number, which is 100, I can
think of that as 10 squared, or 10 to the power 2.
So 2 is the logarithm of this number, 100, to the base 10.
1,000 is 10 to the 3.
This is the logarithm, the 3, and it corresponds to the
number of 0's there.
It is logarithm of 1,000 equals 3.
I can do 10 to another number.
So for example, 10 to the 1.6232 turns out to be 42.
That means that if I were to take 10, that means that the
log to the base 10 of 42 is 1.6232 to
four significant figures.
The reason it's useful is multiplication.
If I have two numbers and I want to multiply them
together, it's easy to make mistakes, because there are a
lot of little operations that have to be added up.
If you go through logarithms and you get a logarithm of a
number, such as 42, and you multiply it with another
number, such as 37, or 59, or 200, you get the logarithm of
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