Rewrite as a single logarithm using the product rule for logarithms. A ssume all variables represent positive real numbers.
-$\log _{4} 8+\log _{4} x$
A) $\log _{32} x$
B) $\log _{4} 8^{x}$
C) $\log _{4}(x+8)$
D) $\log _{4}(8 x)$

Question

Quizplus · Accepted Answer

The product rule for logarithms states that $\log_b(m) + \log_b(n) = \log_b(mn)$. Applying this rule here, $\log _{4} 8+\log _{4} x = \log _{4}(8x)$.

Rewrite as a Single Logarithm Using the Product Rule for Logarithms