Solved: Whats the difference between a logarithm of a product and, Physics

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Whats the difference between a logarithm of a product and

Light travels about 300,000,000 meters per second. A light year is the distance that light can travel in one year. Estimate the number of meters in one light year. Answer in Meters, then in both Kilometers and Miles. Can you show it step by step?

What's the difference between a logarithm of a product and the product of logarithms? Can you provide a simple example for each. Can you also be very detail in explaining the difference. I would really like to understand this more.

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