SOLUTION: 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

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 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      Log On


   



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.

Answer by Nate(3500) About Me  (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.
Actually, you can easily do this manually:
log%2810%2C1000%29+=+log%2810%2C10%5E3%29+=+3
b) Using this formula,log(a,b) = log a/log b, find log2 1000 . Round your answer to the hundredth's place.
log%282%2C1000%29+=+x
1000+=+2%5Ex
log%2810%2C1000%29+=+x%2Alog%2810%2C2%29
3%2Flog%2810%2C2%29+=+x
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