Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
-$\log _ { 2 } 12 - \log _ { 2 } y$
A) $\log _ { 2 } y / 12$
B) $\log _ { 4 } 12 / y$
C) $\log _ { 2 } 12 / \mathrm { y }$
D) $\log _ { 2 } ( 12 - y )$

Question

Quizplus · Accepted Answer

The expression can be simplified using the quotient rule of logarithms, $\log_b a - \log_b c = \log_b \frac{a}{c}$, resulting in $\log_2 \frac{12}{y}$.

Use the Product, Quotient, and Power Rules of Logarithms to Rewrite