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.
-$\log ( 10,000 y )$
A) $4 + \log y$
B) $4 \log y$
C) $10,000 \log y$
D) $\log y + \log 10,000$

Question

Quizplus · Accepted Answer

The product property of logarithms states that $\log_b(MN) = \log_b(M) + \log_b(N)$. Applying this to $\log(10,000y)$, we get $\log(10,000) + \log(y)$. Since $\log(10,000) = \log(10^4) = 4$, the expression simplifies to $4 + \log y$.

Choose the One Alternative That Best Completes the Statement or Answers