SOLUTION: I really need help ! 5) Logarithms: a) Using a calculator, find log 10000 where log means log to the base of 10. Answer: b) Most calculators have 2 different logs

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Question 33626This question is from textbook COLLEG ALGEBRA
: I really need help !

5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:



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:

Using this formula, find .
Answer:
Show work in this space
This question is from textbook COLLEG ALGEBRA

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
a)Using a calculator, find log 10000 where log means log to the base of 10.
Actually, we do not need a calculator....
log 10000 = x
10000 = 10^x
x = 4 because you get 10,000 when you multiple ten by itself for four times
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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:
the formula is easy.... I even thought of it before i studied it, so you can easily catch on!
log(base 2) 10 = (log(base b) 10)/(log(base b) 2)
'b' can be any number

In your question, I cannot find a question! Sorry....

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