Question 73935: 5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:
b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based 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/she uses a log to the base 2. 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 2 10000 . Round your answer to the hundredth's place.
Answer:
Show work in this space
Answer by ffc_01(9)   (Show Source):
You can put this solution on YOUR website! a) log base 10 of 10000
Scientific Calculator: plug in 10000 log
TI83, 83+, or 84: plug in log 10000
or by hand: 10^x = 10000
answer: 4
b) log base 2 of 10000
log b a = log base 10 of a / log base 10 b
b=2, a=10000
log 10000 / log 2
13.28771238
To round to the hundredth's place round at the second decimal place
13.29
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