A few days ago
Creole

What is the dofference between a logarithm of a product and the product of logarithms?

Could someone please explain the difference between a logarithm of a product and the product of logarithm? I thought that the logarithm of a product is when you multiply something by the product in the parenthesis ex: log(a*b) and the product of logarithms is when you take the answer of to logarithms like log(j) * log(v). Could someone please explain this to me and provide examples of each by step? I’m really confused and I don’t want to use a calculator because it dosen’t explain how I would solve the process by steps.

Top 1 Answers
A few days ago
Mika

Favorite Answer

log(a*b) = log a + logb

so, logarithm of a product is the sum of the individual factors.

But the product of logarithms is simply muliplying the logarithms of individual factors.

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