APFIVE Product Property of Logarithms
Which of the following is an example of applying the logarithmic product property, $$\log_b(M*N)=\log_b(M)+\log_b(N)$$?
A
Simplifying $$\log_{3}(2)+\log_{3}(5)$$ to $$\log_{3}(7)$$ is a misapplication of the property.
B
Simplifying $$\log_{3}(2)+\log_{3}(5)$$ to $$\log_{3}(2*5)=\log_{3}(10)$$ demonstrates the logarithmic product property.
C
Expressing $$\log_{3}(2)+\log_{3}(5)$$ as $$\log_{3}(2+5)$$ incorrectly replaces multiplication with addition inside the logarithm.
D
Writing $$\log_{3}(2)+\log_{3}(5)$$ as $$\log_{10}(2*5)$$ mistakenly changes the base without proper conversion.
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