SOLUTION: I am trying to answer a question that reads: "Explain the difference between a logarithm of a product and the product of logarithms and give examples of each" I understand the pro

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Question 48217: I am trying to answer a question that reads: "Explain the difference between a logarithm of a product and the product of logarithms and give examples of each" I understand the product of a logarithm is the sum of the logarithm however I do not understand the difference?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to answer a question that reads: "Explain the difference between a logarithm of a product and the product of logarithms and give examples of each" I understand the product of a logarithm is the sum of the logarithm however I do not understand the difference?
There is no way to "explain the difference". They are simply different. PERIOD.
As you say the log of a product is the sum of the log of the factors
because when we multiply to numbers that are expressed as the product
of numbers written as powers of the same base, we add the exponents.
If we want to multiply these exponents (logarithms) we can. But these is
no DIFFERENCE that can be formulated.
Cheers,
Stan