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Exponential and Logarithmic Equations and Models College Algebra Product Rule for Logarithms
The product rule for logarithms can be used to simplify a logarithm of a product by rewriting it as a sum of individual logarithms.
log (��) = log � + log � for � > 0
Example: Expand log 30� 3� + 4 Solution: = log 30� + log 30� + 4 = log 30 + log � + log 30� + 4 Quotient Rule for Logarithms
The quotient rule for logarithms can be used to simplify a logarithm of a quotient by rewriting it as the difference of individual logarithms. � log = log � − log � �