SOLUTION: ) Logarithms: a) Using a calculator, find log 1000 where log means log to the base of 10. Answer: 10^3=1000; therefore log1000=3 b) Most calculators have 2 different log

Question 68240: ) Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.
Answer: 10^3=1000; therefore log1000=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 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,log 2 1000 find . Round your answer to the hundredth's place.
Answer:
Show work in this space.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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,log 2 1000
-----------------------
log(base2)1000= [log 1000]/[log2]
=3/0.3010299957...
=9.96578425...
--------
Cheers,
Stan H.
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