Question 87284This question is from textbook
: Please explain to me the difference between a logarithm of a product and the product of logarithms, and provide me with examples of each. I really appreciate your help.
This question is from textbook
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! A logarithm of a product would be like log(mn),
whereas the product of logarithms would be like log(m)* log(n).
In the first case, the law of logarithms applies:
log(mn) = log(m)+ log(n).
This is a VERY important distinction to make. For more help with logarithms, see my Lesson Plans in algebra.com or visit my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com, then look for "MATH IN LIVING COLOR", click on "College Algebra" and look for Chapter 4, which is a complete chapter on LOGARITHMS.
R^2 Retired from SCC
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