Rewrite as the sum of two or more logarithms using the product rule for logarithms. A ssume all variables represent positive real numbers.
-$\log _{x}(8 y z)$
A) $\log _{x} 8+\log _{x} y+\log _{x} z$
B) $\log _{x}(8+y+z)$
C) $\log 8 y+\log 8 z$
D) $\left(\log _{x} 8\right)\left(\log _{x} y\right)\left(\log _{x} z\right)$

Question

Quizplus · Accepted Answer

The product rule for logarithms states that $\log_b(mn) = \log_b(m) + \log_b(n)$. Applying this rule to $\log_x(8yz)$ results in $\log_x(8) + \log_x(y) + \log_x(z)$.

Rewrite as the Sum of Two or More Logarithms Using log⁡x(8yz)\log _{x}(8 y z)logx​(8yz)

Rewrite as the Sum of Two or More Logarithms Using $\log _{x}(8 y z)$