Question 77545:
Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
Using this formula, find . Round your answer to the hundredth's place.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a) Using a calculator, find log 1000 where log means log to the base of 10.
log 1000 = 3 because 1000=10^3
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b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
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log(base A) B = [log(any base) B] /[log(same base) A]
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Cheers,
Stan H.
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