



 
Hi Sharon, In the first case, the logarithm of a product, you are to take the logarithm of something so you know it is
The rest of the expression says that this something is a product, say p q, so you have
The second expression, the product of logarithms, you have first a product
In this case the somethings are logarithms, maybe log(x) and log(y) so you have
I hope this helps, Hi Sharon. Log (ab) is the logarithm of a product, or in other words, logarithm(a product) (Log a)(Log b) is the product of logarithms, or in other words, logarithm x logarithm. For example, Log 10 = Log (5 x 2), a logarithm of products in which you can use the product rule of logarithms so you know that Log (5 x 2) = (Log 5) +(Log 2) (Log 5)(Log 2) is the product of two logarithms and it certainly does NOT equal Log 10. Stephen La Rocque.>  


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