Question 58555: 5) 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:
log b a=log-a/log-b
Using this formula, find log sqr 1000 . Round your answer to the hundredth's place.
Answer:
Show work in this space.
thanks Tine I am having the hardwst time with these could you give me some dirrection thanks?
Answer by Nate(3500)   (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.
Answer:
Actually, you can do this without a calculator. log(x) = y means: x = 10^y
1000 = 10^y ? ~> answer: 3
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 be honest, you don't need to change the base. The base 10 returns to 10 due to log(10) = 1.0
log(1000^(1/2))
(1/2)*log(1000)
(1/2)*3
1.5 or 3/2
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