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!
