SOLUTION: What in the world does this mean? Please Please, HELP! Using a calculator, find log 10000 where log means log to the base of 10. Answer Most calculators have 2 differe

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What in the world does this mean? Please Please, HELP! Using a calculator, find log 10000 where log means log to the base of 10. Answer Most calculators have 2 differe      Log On


   



Question 43604: What in the world does this mean? Please Please, HELP!
Using a calculator, find log 10000 where log means log to the base of 10.
Answer

Most calculators have 2 different logs on the: log, which is based, 10, and In, 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:

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log10000 means "the power of 10 that gives you the number 10000"
That power is 4. So log10000=4.
The conversion formula for logarithms is:
log(base a)b = [log(base c)b]/[log(base c]a]
So log(base 2)10 = log(10)/log(2) = 1/log(2)
Cheers,
Stan H.