APFIVE Product Property of Logarithms
Which of the following demonstrates a correct application of the product property of logarithms, $$\log_b(MN)=\log_b(M)+\log_b(N)$$?
A
Expressing $$\log_{3}(2)+\log_{3}(5)$$ as $$\log_{3}(2+5)$$ incorrectly replaces multiplication with addition inside the logarithm.
B
Simplifying $$\log_{3}(2)+\log_{3}(5)$$ to $$\log_{3}(2*5)=\log_{3}(10)$$ demonstrates the logarithmic product property.
C
Writing $$\log_{3}(2)+\log_{3}(5)$$ as $$\log_{10}(2*5)$$ mistakenly changes the base without proper conversion.
D
Simplifying $$\log_{3}(2)+\log_{3}(5)$$ to $$\log_{3}(7)$$ is a misapplication of the property.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | nailah.adilpottayil | 1 | 1 | 0m 18s | 82 |
| #2 | gultepemesut | 1 | 1 | 0m 24s | 76 |
| #3 | danurizayo | 1 | 1 | 0m 25s | 75 |
| #4 | 905705 | 1 | 1 | 0m 31s | 69 |
| #5 | yasinseif5 | 4 | 9 | 36m 10s | -1,820 |
Items per page:
10
1 – 5 of 5