Question 27681: 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:
log b A =log A/Log b
Using this formula, log2 1000 find .
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! to base10, log1000 = 3
writing log to base 2 as log[2],
log[2]1000 = log1000/log2
log[2]1000 = 3/log2
log[2]1000 = 9.96578 to 5dp
jon.
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