SOLUTION: 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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 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      Log On


   



Question 33371: 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 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(2,10000).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log10000=4
log(base 2)10000= [log10000]/[log2]= 4/0.301...=13.288
Cheers,
Stan H.