8
QuizMultiple Choice

Properties of Logarithms — Quiz

Question 8 • Mathematics III

What is log sub 5 of open paren 4 times 7 close paren plus the log base 5 of 2 written as a single log?

Answer
A
the log base 5 of 56
B
the log base 5 of 21
C
the log base 5 of 30
D
the log base 5 of 26

Explanation

Use the product rule for logarithms: log₅(a) + log₅(b) = log₅(ab). First, 4 × 7 = 28, so the expression is log₅(28) + log₅(2) = log₅(28 × 2) = log₅(56). The correct choice is the log base 5 of 56.

AI-written and checked against the verified answer.

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