Rewrite in terms of two or more logarithms using the quotient and product rules for logarithms. Assume all variables
represent positive real numbers.
-$\log 17 \left( \frac { 5 \mathrm {~m} } { \mathrm { y } } \right)$
A) $\frac { \log _ { 17 } 5 + \log _ { 17 } \mathrm {~m} } { \log 17 \mathrm { y } }$
B) $\log 175 - \log 17 m - \log 17 \mathrm { y }$
C) $( \log 175 ) ( \log 17 \mathrm {~m} ) - \log 17 \mathrm { y }$
D) $\log 175 + \log 17 m - \log 17 \mathrm { y }$

Question

Quizplus · Accepted Answer

The correct answer is obtained by applying the product rule ($\log_b(xy) = \log_b x + \log_b y$) to the numerator and the quotient rule ($\log_b\frac{x}{y} = \log_b x - \log_b y$) to the entire expression.

Rewrite in Terms of Two or More Logarithms Using the Quotient