Rewrite as a single logarithm using the product rule for logarithms. Assume all variables represent positive real
numbers.
-$\log _ { 6 } 6 + \log _ { 6 } 8$
A) $\log _ { 6 } 48$
B) $\log _ { 12 } 48$
C) $\log _ { 12 } 14$
D) $\log _ { 6 } 14$

Question

Quizplus · Accepted Answer

Using the product rule for logarithms, we can combine the terms as follows:
$$\log_{6}6 + \log_{6}8 = \log_{6}(6\cdot8) = \log_{6}48$$

Rewrite as a Single Logarithm Using the Product Rule for Logarithms