Rewrite as a single logarithm.
-$6 \log _ { q } q - \log _ { q } r$
A) $\log _ { q } \frac { q ^ { 6 } } { r }$
B) $\log _ { q } \left( q ^ { 6 } - r \right)$
C) $\log _ { q } q ^ { 6 } + \log _ { b } r$
D) $\log _ { \mathrm { q } } \frac { 6 \mathrm { q } } { \mathrm { r } }$

Question

Quizplus · Accepted Answer

The expression $6 \log _ { q } q - \log _ { q } r$ simplifies to $\log _ { q } q ^ { 6 } - \log _ { q } r$ using the power rule of logarithms. Then, applying the quotient rule of logarithms, it further simplifies to $\log _ { q } \frac { q ^ { 6 } } { r }$.

Rewrite as a Single Logarithm 6log⁡qq−log⁡qr6 \log _ { q } q - \log _ { q } r6logq​q−logq​r

Rewrite as a Single Logarithm $6 \log _ { q } q - \log _ { q } r$