10
QuizMultiple Choice

Properties of Logarithms — Quiz

Question 10 • Mathematics III

Which expression is equivalent to log 18 minus the log of open paren p plus 2 close paren ?

Answer
A
the log of 20 over p
B
the log of open bracket 18 times open paren p plus 2 close paren close bracket
C
the log of the fraction with numerator 18 and denominator p plus 2
D
the log of the fraction with numerator p plus 2 and denominator 18

Explanation

Use the quotient rule for logarithms: log a − log b = log(a/b). Therefore, log 18 − log(p + 2) = log(18/(p + 2)), which is choice C.

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