Question 48084
a) Using a calculator, find log 1000 where log means log to the base of 10.
On a standard calculator, you press LOG; then, you type in 1000 and press enter.
{{{log(10,1000) = log(10,10^3) = 3}}}
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(a,b) = log(2,b)/log(2,a)}}} Round what to the hundredth's place?