Question 52981: I would appreciate if someone can help me with this word problem. I am stuck. Thank you.
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 I have to find log2 10000. I also have to round to the nearest hundreth's place.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! I would appreciate if someone can help me with this word problem. I am stuck. Thank you.
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 I have to find log2 10000.
= LOG(10000)/LOG(2) BOTH TO BASE 10
= 4/0.301 =13.288 = 13.29
I also have to round to the nearest hundreth's place.
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