Rewrite as a single logarithm using the product rule for logarithms. Assume all variables represent positive real
numbers.
-$\log _ { 4 } 9 + \log _ { 4 } 6$
A) $\log _ { 4 } 54$
B) $\log _ { 8 } 15$
C) $\log _ { 8 } 54$
D) $\log _ { 4 } 15$

Question

Quizplus · Accepted Answer

The product rule for logarithms states that $\log_b(m) + \log_b(n) = \log_b(mn)$. Applying this rule here, we get $\log_4(9) + \log_4(6) = \log_4(9 \times 6) = \log_4(54)$.

Rewrite as a Single Logarithm Using the Product Rule for Logarithms