Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
-$6 \log _ { a } t - \log _ { a } s$
A) $\log _ { a } t ^ { 6 } \div \log _ { a } s$
B) $\log _ { a } \left( t ^ { 6 } - s \right)$
C) $\log _ { a } \left( \frac { t ^ { 6 } } { s } \right)$
D) $\log _ { a } \left( \frac { 6 t } { s } \right)$

Question

Quizplus · Accepted Answer

The properties of logarithms allow us to combine the terms into a single logarithm: $6 \log _ { a } t = \log _ { a } t ^ { 6 }$ and $\log _ { a } t ^ { 6 } - \log _ { a } s = \log _ { a } \left( \frac { t ^ { 6 } } { s } \right)$.

Write the Expression as a Single Logarithm with Coefficient 1 6log⁡at−log⁡as6 \log _ { a } t - \log _ { a } s6loga​t−loga​s

Write the Expression as a Single Logarithm with Coefficient 1 $6 \log _ { a } t - \log _ { a } s$