Write as a logarithm of a single expression.
-$$4 \log _ { b } m - \log _ { b } n$$
A) $\log _ { b } \left( m ^ { 4 } - n \right)$
B) $\log _ { b } \frac { 4 m } { n }$
C) $\log _ { b } m ^ { 4 } \div \log _ { b } n$
D) $\log _ { b } \frac { m ^ { 4 } } { n }$

Question

Quizplus · Accepted Answer

The properties of logarithms allow the expression to be simplified to $\log_b \frac{m^4}{n}$, where the first term is equivalent to $\log_b m^4$ due to the power rule, and the subtraction of logs is equivalent to division.

Write as a Logarithm of a Single Expression 4log⁡bm−log⁡bn4 \log _ { b } m - \log _ { b } n4logb​m−logb​n

Write as a Logarithm of a Single Expression $4 \log _ { b } m - \log _ { b } n$