SOLUTION: Please explain the difference between a logarithm of a product and the product of logarithms and give examples of each.

Question 45390: Please explain the difference between a logarithm of a product and the product of logarithms and give examples of each.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The logarithm of a product is like log(M*N).
The product of logarithms is like log(M)*log(N).

It is a very important distinction to make, since the first case brings up the very important LAW OF LOGARITHMS:

log(M*N) = log(M) * log(N).

There is no such property for the second case, the product of logarithms!

R^2 at SCC
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