SOLUTION: 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, a

Question 33699This question is from textbook College Algebra
: 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:
log b a = loga/logb
Using this formula, find log 10000.
Answer:
Show work in this space
This question is from textbook College 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, you do not need a calculator:
log(base ten) 10,000 = x
10^x = 10,000
(10)(10)(10)(10) = 10,000
so.... x is 4
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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:
log b a = loga/logb
Using this formula, find log 10000.
Remember: as you stated before, you are using common logarithms (that means they have a base of 10)
log(base 10) 10,000
(log 10,000)/(log 10)
(4/1) = 4
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