Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
\[
\log _{3}\left(\frac{4 y}{z}\right)
\]
Choose the correct answer.
A. This cannot be simplified.
B. $\log _{3} 4+\log _{3} y \div \log _{3} z$
C. $\log _{3} 4 \cdot \log _{3} y \div \log _{3} z$
D. $\log _{3} 4+\log _{3} y-\log _{3} z$
Answer
Final Answer: \(\boxed{\text{D. } \log _{3} 4+\log _{3} y-\log _{3} z}\)
Step 1 ：Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
Step 2 ：\(\log _{3}\left(\frac{4 y}{z}\right)\)
Step 3 ：Choose the correct answer.
Step 4 ：Final Answer: \(\boxed{\text{D. } \log _{3} 4+\log _{3} y-\log _{3} z}\)
