Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
-$$\left( \log _ { a } t - \log _ { a } s \right) + 4 \log _ { a } u$$
A) $\log _ { a } \frac { t u _ { 4 } ^ { 4 } } { \mathrm {~s} }$
B) $\log _ { a } t u ^ { 4 } \mathrm {~s}$
C) $\log _ { a } \frac { t } { u ^ { 4 } }$
D) $\log _ { a } \frac { 4 t u } { s }$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $\log_a t - \log_a s$ becomes $\log_a \frac{t}{s}$, and $4\log_a u$ becomes $\log_a u^4$. Combining these gives $\log_a \frac{t u^4}{s}$.

Use Properties of Logarithms to Condense the Logarithmic Expression (log⁡at−log⁡as)+4log⁡au\left( \log _ { a } t - \log _ { a } s \right) + 4 \log _ { a } u(loga​t−loga​s)+4loga​u

Use Properties of Logarithms to Condense the Logarithmic Expression $\left( \log _ { a } t - \log _ { a } s \right) + 4 \log _ { a } u$