Question 64187: Need help with Logarithms
a) Using a calculator, find log 10000 where log means log to the base of 10.
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.
Show work.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! log( b, a ) = log (a)/log (b)
Using this formula, find log ( 2, 10000 )
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log(2,10000)= log10000/log2=13.28771238...
Cheers,
Stan H.
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