Question 47675: Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
Answer:
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,a=log a/log b, find log2 1000 . Round your answer to the hundredth's place.
Answer:
Show work in this space.
Found 2 solutions by Nate, MathTherapy:
Answer by Nate(3500)   (Show Source):
Answer by MathTherapy(10704)  (Show Source):
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Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
Answer:
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,a=log a/log b, find log2 1000 . Round your answer to the hundredth's place.
Answer:
Show work in this space.
b)  =  =  =  =  =  = 9.97, approximately
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