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.
-$$\log _ { 9 } [ ( 17 + t ) \cdot u ]$$
A) $\left. \left. \log _ { 9 } ( 17 + t ) + \log _ { 9 } u \right) \right]$
B) $\log _ { 9 } 17 + \log _ { 9 } t \cdot \log _ { 9 } u$
C) $\left( \log _ { 9 } 17 + \log _ { 9 } t \right) \cdot \log _ { 9 } u$
D) $\log _ { 9 } 17 \cdot \log _ { 9 } t + \log _ { 9 } u$

Question

Quizplus · Accepted Answer

The product property of logarithms states that $\log_b(xy) = \log_b(x) + \log_b(y)$. Applying this property to $\log_9[(17 + t) \cdot u]$ results in $\log_9(17 + t) + \log_9(u)$.

Choose the One Alternative That Best Completes the Statement or Answers