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

Question

Quizplus · Accepted Answer

The properties of logarithms allow the expression $6 \log _ { a } t - \log _ { a } s$ to be rewritten as $\log _ { a } t ^ { 6 } - \log _ { a } s$, which simplifies to $\log _ { a } \left( \frac { t ^ { 6 } } { s } \right)$ according to the quotient rule of logarithms.

Write the Expression as a Single Logarithm with Coefficient 1 a≠1 and b≠1a \neq 1 \text { and } b \neq 1a=1 and b=1

Write the Expression as a Single Logarithm with Coefficient 1 $a \neq 1 \text { and } b \neq 1$