Express as a single logarithm.
-$3 \log _ { b } q - \log _ { b } r$
A) $\log _ { \mathrm { b } } \left( \mathrm { q } ^ { 3 } - \mathrm { r } \right)$
B) $\log _ { b } \frac { 3 q } { r }$
C) $\log _ { b } \frac { q ^ { 3 } } { r }$
D) $\log _ { b } \mathrm { q } ^ { 3 } \div \log _ { \mathrm { b } } \mathrm { r }$

Question

Quizplus · Accepted Answer

The expression can be simplified using logarithm properties: $3 \log_b q = \log_b q^3$ and the subtraction of logs is equivalent to division, resulting in $\log_b \frac{q^3}{r}$.

Express as a Single Logarithm 3log⁡bq−log⁡br3 \log _ { b } q - \log _ { b } r3logb​q−logb​r

Express as a Single Logarithm $3 \log _ { b } q - \log _ { b } r$