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What is log mean?

Thanks for anyone that helps.

 Dec 27, 2015

Best Answer 

 #1
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Log is short for "Logarithm".  In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication.

Example: The log of 100 to base 10=2. 2 means the number of times you multiply 10 by itself to give you 100. So, because the log is 2, then it we multiply 10 X 10=100. It is written like this:10^2=100.

 Dec 27, 2015
 #1
avatar
+5
Best Answer

Log is short for "Logarithm".  In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication.

Example: The log of 100 to base 10=2. 2 means the number of times you multiply 10 by itself to give you 100. So, because the log is 2, then it we multiply 10 X 10=100. It is written like this:10^2=100.

Guest Dec 27, 2015
 #2
avatar+118608 
+5

Yes, what our guest has said is correct.

 

A logarithm is an index or an exponent or a power (3 words that mean the same thing)

 

You can use them if you need to find a missing exponent

 

For example

\(If\;\;3^x=243\\ then \;\;x=log_3 243\\ x=5\;\; because\;\;3^5=243\\~\\ \)

In words

If 3 to the power of x = 243 then x = log of 243 base 3

 

Most calculators can only to base 10 or base e and it is easy to change from one base to another but the web2 calc can work in any positive integer base.  I will just check this ://   

 

log(243,3) = 4.999999999999999   near enough    4.9 repeater actually is 5 anyway://

 Dec 28, 2015

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