Choose the one alternative that best completes the statement or answers the question.
Use the product property of logarithms to write the logarithm as a sum of logarithms. Then simplify if
possible.
-$\log _ { 2 } 8 x$
A) $3 \log _ { 2 } x$
B) $3 + \log _ { 2 } x$
C) $\left( \log _ { 2 } 8 \right) \left( \log _ { 2 } x \right)$
D) $\log _ { 2 } x + \log _ { 2 } 8$

Question

Quizplus · Accepted Answer

The product property of logarithms states that $\log_b(mn) = \log_b(m) + \log_b(n)$. Applying this to $\log_2(8x)$, we get $\log_2(8) + \log_2(x)$. Since $\log_2(8) = 3$, the expression simplifies to $3 + \log_2(x)$.

Choose the One Alternative That Best Completes the Statement or Answers