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The logarithm of a product rewrites as which combination of logarithms?
AA product of logarithms
BA quotient of logarithms
CA power of logarithms
DA sum of logarithms
Answer & Solution
Correct answer: D. A sum of logarithms
1. Logarithms are exponents, and multiplying like bases adds exponents.
2. So the logarithm of a product equals a sum of logarithms.
3. The rule can be applied again and again, so a product of four factors becomes four separate logarithms added.
_Source: OpenStax Precalculus (CC BY 4.0), section 4.5 Logarithmic Properties_