Use properties of logarithms to expand the logarithmic expression as much as possible.
-$$\log _83 ( x - 5 )$$
A) $\log _ { 8 } 3 + \log _ { 8 } ( x - 5 )$
B) $\log _ { 8 } 3 + \log _ { 3 } ( x - 5 )$
C) $\log _83 \cdot \log _ { 3 } ( x - 5 )$
D) $\log _ { 8 } 3 \cdot \log _ { 8 } ( x - 5 )$

Question

Quizplus · Accepted Answer

The logarithm of a product can be expanded into the sum of the logarithms of its factors, hence $\log _83 ( x - 5 )$ is correctly expanded as $\log _ { 8 } 3 + \log _ { 8 } ( x - 5 )$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much